nano = 10-9
pico = 10-12
nano / pico = 10-9 / 10-12 = 103 or 1000.
The prefixes mean the same thing (the same numerical multiplier), whether they are used with seconds, meters, Farad, or whatever.
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Yes, a pico second is a thousandth of a nano second.
Millisecond.
1 pico second = 1 trillionth of a second (ten to the -12)
1/1,000,000,000,000 of a second = 1 pico-second however 1/1,000,000,000,000,000,000,000,000 of a second = 1 yacto-second
There are 60 nano-seconds in a second. :)