12614252851200 has 4992 divisors, whose sum is σ = 62902853959680. Its totient is φ = 2140353331200.

The previous prime is 12614252851157. The next prime is 12614252851231. The reversal of 12614252851200 is 215825241621.

It is a tau number, because it is divible by the number of its divisors (4992).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 99324825537 + ... + 99324825663.

Almost surely, 2^{12614252851200} is an apocalyptic number.

12614252851200 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 12614252851200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31451426979840).

12614252851200 is an abundant number, since it is smaller than the sum of its proper divisors (50288601108480).

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

12614252851200 is a wasteful number, since it uses less digits than its factorization.

12614252851200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The spelling of 12614252851200 in words is "twelve trillion, six hundred fourteen billion, two hundred fifty-two million, eight hundred fifty-one thousand, two hundred".