Check out
Date::Calc for date calculations. I don't think it will go any more granular than days though.
Update
I notice that your date/time format is easily parseable. One thing you can do is use Date::Calc's Date_to_Time() function to convert that information into a system time format (aka seconds-since-epoch).
$time = Date_to_Time($year,$month,$day, $hour,$min,$sec);
You could then operate on that system time in a number of ways, including manual subtraction to find the difference in seconds. You should be able to see where to go from there. :)
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