12512512638 has 64 divisors (see below), whose sum is σ = 28918982400. Its totient is φ = 4007011680.

The previous prime is 12512512613. The next prime is 12512512657. The reversal of 12512512638 is 83621521521.

12512512638 is a `hidden beast` number, since 1 + 2 + 5 + 1 + 2 + 5 + 12 + 638 = 666.

It is a super-2 number, since 2×12512512638² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97473 + ... + 185811.

It is an arithmetic number, because the mean of its divisors is an integer number (451859100).

Almost surely, 2^12512512638 is an apocalyptic number.

12512512638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12512512638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14459491200).

12512512638 is an abundant number, since it is smaller than the sum of its proper divisors (16406469762).

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

12512512638 is a wasteful number, since it uses less digits than its factorization.

12512512638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88454 (or 88448 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The spelling of 12512512638 in words is "twelve billion, five hundred twelve million, five hundred twelve thousand, six hundred thirty-eight".