12015765072 has 160 divisors (see below), whose sum is σ = 37078579200. Its totient is φ = 3713599872.

The previous prime is 12015765061. The next prime is 12015765079. The reversal of 12015765072 is 27056751021.

12015765072 is a `hidden beast` number, since 12 + 0 + 1 + 576 + 5 + 0 + 72 = 666.

It is a super-2 number, since 2×12015765072² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12015765079) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 370203 + ... + 401349.

It is an arithmetic number, because the mean of its divisors is an integer number (231741120).

Almost surely, 2^12015765072 is an apocalyptic number.

12015765072 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 12015765072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18539289600).

12015765072 is an abundant number, since it is smaller than the sum of its proper divisors (25062814128).

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

12015765072 is a wasteful number, since it uses less digits than its factorization.

12015765072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31230 (or 31218 counting only the distinct ones).

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

The spelling of 12015765072 in words is "twelve billion, fifteen million, seven hundred sixty-five thousand, seventy-two".