What is the least possible sum of digits displaying time on a 12 hour clock?

Puzzling2015-10-23T14:06:37Z

We can't get a zero (e.g. no 0:00), but we can get a 1 (e.g. 1:00 or 10:00).
1 + 0 + 0 = 1
1 + 0 + 0 + 0 = 1

(The maximum possible would be at time 9:59 --> 9 + 5 + 9 = 23)

Answer:
The smallest possible sum of the digits is 1.

Anonymous2015-12-04T19:12:07Z

3

?2015-10-23T17:46:51Z

if you only have the '12' to indicate noon and midnight,
12

then there are clocks with 3,6,9, and 12
30

if the problem is to add 1 through 12
12(12+1)/2
6(13)
78

Anonymous2015-10-23T13:45:53Z

Smallest possible sum is 1, which occurs at 1:00 or 10:00