12015759672 has 160 divisors (see below), whose sum is σ = 38631621600. Its totient is φ = 3418039296.

The previous prime is 12015759661. The next prime is 12015759703. The reversal of 12015759672 is 27695751021.

12015759672 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 57 + 596 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1051204 + ... + 1062572.

It is an arithmetic number, because the mean of its divisors is an integer number (241447635).

Almost surely, 2^12015759672 is an apocalyptic number.

12015759672 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 12015759672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19315810800).

12015759672 is an abundant number, since it is smaller than the sum of its proper divisors (26615861928).

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

12015759672 is a wasteful number, since it uses less digits than its factorization.

12015759672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11627 (or 11614 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The spelling of 12015759672 in words is "twelve billion, fifteen million, seven hundred fifty-nine thousand, six hundred seventy-two".