12985969651200 has 2160 divisors, whose sum is σ = 58523490881856. Its totient is φ = 2725606195200.

The previous prime is 12985969651139. The next prime is 12985969651273. The reversal of 12985969651200 is 215696958921.

12985969651200 is a `hidden beast` number, since 1 + 2 + 9 + 8 + 59 + 69 + 6 + 512 + 0 + 0 = 666.

It is a super-2 number, since 2×12985969651200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 19886630074 + ... + 19886630726.

Almost surely, 2^{12985969651200} is an apocalyptic number.

12985969651200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12985969651200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29261745440928).

12985969651200 is an abundant number, since it is smaller than the sum of its proper divisors (45537521230656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12985969651200 is a wasteful number, since it uses less digits than its factorization.

12985969651200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 63.

The spelling of 12985969651200 in words is "twelve trillion, nine hundred eighty-five billion, nine hundred sixty-nine million, six hundred fifty-one thousand, two hundred".