A leap second keeps civil time (UTC) aligned with the rotation of the Earth. The IERS Earth Orientation Center decides when to insert one so that UT1 − UTC stays below 0.9 second. On that day the last minute has 61 seconds, as on 30 June 2012, so the day has 86,401 seconds instead of 86,400.
Example
A normal day: 24 × 3,600 = 86,400 s. A leap-second day: 86,400 + 1 = 86,401 s. The IERS page counts 27 leap seconds added between 1972 and its most recent one on 1 January 2017. Leap seconds are announced in the IERS Bulletin C. See how many seconds in a day.
Common mistakes
The SI second and the exact conversion day = 86,400 s are unaffected. Only UTC clock time includes the extra second.