12567057012 has 72 divisors (see below), whose sum is σ = 32974564896. Its totient is φ = 4185040608.

The previous prime is 12567056987. The next prime is 12567057043. The reversal of 12567057012 is 21075076521.

12567057012 is a `hidden beast` number, since 1 + 2 + 5 + 6 + 70 + 570 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1124878 + ... + 1135994.

It is an arithmetic number, because the mean of its divisors is an integer number (457980068).

Almost surely, 2^12567057012 is an apocalyptic number.

12567057012 is a gapful number since it is divisible by the number (12) 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 12567057012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16487282448).

12567057012 is an abundant number, since it is smaller than the sum of its proper divisors (20407507884).

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

12567057012 is a wasteful number, since it uses less digits than its factorization.

12567057012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12299 (or 12285 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The spelling of 12567057012 in words is "twelve billion, five hundred sixty-seven million, fifty-seven thousand, twelve".