sequence

[baberuth69]

what is the next number in the sequence?

12595812595913

[gen2]

the next number is 0 followed by three more 0s

You can read these as times on a 24hr clock given in hours/minutes/seconds
125958 = 12:59:58 = 12 hrs 59 mins 58 secs
125959 = 12:59:59 = 12 hrs 59 mins 59 secs
130000 = 13:00:00 = 13 hrs 00 mins 00 secs
130001 = 13:00:01 = 13 hrs 00 mins 01 secs
etc.