12412600796288 has 512 divisors, whose sum is σ = 33173353267200. Its totient is φ = 4480842240000.

The previous prime is 12412600796279. The next prime is 12412600796291. The reversal of 12412600796288 is 88269700621421.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1688555813 + ... + 1688563163.

It is an arithmetic number, because the mean of its divisors is an integer number (64791705600).

Almost surely, 2^{12412600796288} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12412600796288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16586676633600).

12412600796288 is an abundant number, since it is smaller than the sum of its proper divisors (20760752470912).

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

12412600796288 is a wasteful number, since it uses less digits than its factorization.

12412600796288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7600 (or 7588 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 56.

The spelling of 12412600796288 in words is "twelve trillion, four hundred twelve billion, six hundred million, seven hundred ninety-six thousand, two hundred eighty-eight".