12512965031424 has 1920 divisors, whose sum is σ = 46344873738240. Its totient is φ = 3304727838720.

The previous prime is 12512965031389. The next prime is 12512965031431. The reversal of 12512965031424 is 42413056921521.

12512965031424 is a `hidden beast` number, since 1 + 2 + 5 + 12 + 96 + 503 + 1 + 42 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12512965031424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 63517588894 + ... + 63517589090.

It is an arithmetic number, because the mean of its divisors is an integer number (24137955072).

Almost surely, 2^{12512965031424} 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 12512965031424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23172436869120).

12512965031424 is an abundant number, since it is smaller than the sum of its proper divisors (33831908706816).

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

12512965031424 is a wasteful number, since it uses less digits than its factorization.

12512965031424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 12512965031424 in words is "twelve trillion, five hundred twelve billion, nine hundred sixty-five million, thirty-one thousand, four hundred twenty-four".