12015972864 has 540 divisors, whose sum is σ = 42464052774. Its totient is φ = 3386105856.

The previous prime is 12015972853. The next prime is 12015972877. The reversal of 12015972864 is 46827951021.

It can be written as a sum of positive squares in only one way, i.e., 9958443264 + 2057529600 = 99792^2 + 45360^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 164602332 + ... + 164602404.

Almost surely, 2^12015972864 is an apocalyptic number.

12015972864 is a gapful number since it is divisible by the number (14) 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 12015972864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21232026387).

12015972864 is an abundant number, since it is smaller than the sum of its proper divisors (30448079910).

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

12015972864 is an frugal number, since it uses more digits than its factorization.

12015972864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 12015972864 in words is "twelve billion, fifteen million, nine hundred seventy-two thousand, eight hundred sixty-four".