I have a timex camel promotion watch. The second hand stalls at random points on the face of the watch. It is a 24 hour watch, and it is a timex indiglo. It has no serial number.

https://www.timex.com/watch-manuals.html

I didn't see it there, but they usually provide contact information to request assistance.

https://www.amazon.com/Marathon-Timex-T5K360-Digital-Mid-Size/dp/B00284C9SM

Amazon vendors often answer customer questions on their web site.

Examples:
Question:
does this watch count distance?
Answer:
No, this watch does not count distance. It has two time zone settings and a stop watch.
By Mindyx on June 24, 2017 See more answers (4)
Question:
Does this watch show seconds as well?
Answer:
Yes.
By Mom of three on July 22, 2017 Yes the seconds show on the face along with the time.
By Pati D on July 21, 2017Collapse all answers
Question:
What is the length of the watch band - I need at least 8" in length
Answer:
6 inch
By PromenadeWatches SELLER on August 4, 2017 Tip to tip (including buckle) is 9 inches. 8 inches without the buckle
By Brittney on August 1, 2017
Hello, standard wrist size for a women's watch fits a maximum of 7.5 inches.
By Timex Customer Service MANUFACTURER on August 3, 2017

Collapse all answer
Question:
IS this a chrono watch?
Answer:
Hello, thank you for your question. Yes this watch has the chronograph feature.
By Timex Customer Service MANUFACTURER on August 29, 2017 No, it is not a chrono watch, but it has a 24-hour stop watch.
By Mindyx on August 28, 2017Collapse all answers
Question:
Does this watch have presets for the countdown timer? For example 30 secs, 1 min, 3 min, 5 min, 15 min, 30 min, 45 min, 1 hour? Thank you!
Answer:
No
By Mom of three on February 16, 2018 Hello, thank you for your question! This watch doesn't have timer feature.
By Timex Customer Service MANUFACTURER on February 20, 2018
Collapse all answers

Question:
Does this watch have a countdown timer?
Answer:
Yes, this watch has a 24 hour countdown timer.
By Timex Customer Service MANUFACTURER on March 13, 2017 No. But the size of the numbers and night light button are great features. Has count UP timer.
By Mom of three on March 13, 2017

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Question:
How do I change the time showing back to international (military) time?
Answer:
By pressing the lower left hand button to scroll through he screens, go to where it displays the time with the date up above. Press the upper left hand corner button once.
By Mom of three on August 16, 2017 Hello, thank you for your message. Here are the instructions in setting the time including the time format.

To set time and date: ... see more
By Timex Customer Service MANUFACTURER on August 15, 2017Collapse all answers

Lots of older watches needed to have the hands advanced 24 hours to advance the date one day. Fortunately most modern watches require the hands to be wound backwards to advance the date, often at the rate of a day per hour. A combination of the backward and forward winding of the hands made adjusting the day and date much simpler and quicker.

A few premium watches had a third position when pulling out the winder, a position dedicated to adjusting the day/date

Try this:
To set time and date:
1) With time and date showing, press SET.
2) Seconds ?ash. Press START/STOP to round time to nearest minute,
setting seconds to zero.
3) Press MODE. Hour ?ashes. Press START/STOP to change hour,
including AM (no symbol) and PM.
4) Press MODE. Minutes ?ash. Press START/STOP to change minutes;
hold button to scan values.
5) Press MODE. Month ?ashes. Press START/STOP to change month.
6) Press MODE. Date ?ashes. Press START/STOP to change date.
7) Press MODE. Day ?ashes. Press START/STOP to change day.
8) Press MODE. Time format ?ashes. Press START/STOP to select
12- or 24-hour time format. 12-hour format has AM/PM.
9) Press SET, at any step, to exit and save settings.
Date (day of month) appears in upper part of display in Time mode.
Press and hold START/STOP to see month and date in large digits.

Thank you for contacting FixYa.<br /> <ol id="ecxintelliTxt"> <li id="ecxjsArticleStep1"> Press the "MODE" button---usually on the lower left side of the watch, but sometimes on the right center side---to cycle through to the time display.<br /></li> <li id="ecxjsArticleStep2"> Press and hold the "SET" button---usually on the right lower side of the watch---until the seconds flash.<br /></li> <li id="ecxjsArticleStep3"> Press "MODE" repeatedly to cycle through the displays that flash: from hours to minutes to month to date and day. At the end of the cycle is the hour display option. Make this option flash.<br /></li> <li id="ecxjsArticleStep4"> Press the "SPLIT/RESET" button below the face of the watch to change the hour display option to "24-hour display." This is the same as military time. If there is a "NEXT" button on the upper-right side of the watch, use this to advance to the 24-hour option instead of using the "SPLIT/RESET" button. You may need to press a "START/SPLIT" button instead a "SPLIT/RESET" button to cycle between 12- and 24-hour display. The "START/SPLIT" button could be located below the watch face or on the upper-right side of the watch, depending on the model.<br /></li> <li id="ecxjsArticleStep5"> Press the "SET" button again. You are now done. All PM hours should be displaying hours between 12 and 23.<br /></li></ol> Contact TIMEX for further assistance at:<br /> http://www.timex.com/info/Product_Instruction_Guides_Downloads

Sounds like a failing battery to me. Its very common for a watch to loose time when battery needs to be changed.

I too was confused at first at setting the second hand after reading the directions. I read your post in searching for a solution, then I figured it out. Check the watch face, the second hand is operating using military time. (24 hr. time) You will see 24 hour time embedded on the face.
For example: if you wanted to set both hands to be at the same time to test this. At say 10 p.m. set the second time hand to 22 for 2200 hrs. (10 p.m.) Let's say you woke up at 7 a.m. The second hand would be at 0700 (Embedded on watch face) then at noon it would say 1200 on the watch face... I now use the normal hands for local time and set the 24 hour hand for my home time.
I hope this helps.

Hi bowingman,

To use 12- or 24-hour time for your watch, please follow the instructions below.

1. Press and hold the "Set" button for 2 seconds. The "Set" button is on the lower right side.

2. Press the "Date Advance" button on the upper right side. This will reset the seconds.

3. Press the "Change Mode" button on the lower left to set the hour. The hour will flash. Press the "Date Advance" button until the correct hour is displayed.

4. Press the "Change Mode" button again to set the correct 10s unit (first digit 1 or 0) for the minutes. Press the "Date Advance" button until the correct first digit of the minutes is displayed. Repeat this step to set the second digit of the minutes.

5. Repeat Steps 1 through 4 of this section to set the year, month, date and day and whether to use 12- or 24-hour time for your watch.

6. When finished, press the "Set" button (on the lower right) to return to the current time view and lock in your settings.

Hope it helps.

Thank you for using FixYa.

Select Time reset button (right lower side) until seconds flash
Select Start button on face and cycle through until 24-HR
Select Lap/Reset
Select Time reset button

The second time zone hand is running on a 24 hour face (right hand half of face is morning, left hand half of face is afternoon/evening) so all you need do is multiply what it points at by two. As an example, if your second time zone hand is pointing to the right (3 o'clock) then it represents 6am and if it is pointing to the left (9 o'clock) then it represents 6pm [9 x 2 = 18:00]

You should be able to open the back by popping it off with a sharp knife blade. Sometimes, the lip where you'd open it is hard to see and usually under the band, between the lugs. The movement will just come out. If I read you right, you know how to do this, once the movement is removed. You can't just pull the hands off. Hopefully, you'll be able to just VERY EASILY bend the one that is causing the problem.