12079974234288 has 320 divisors, whose sum is σ = 34866511257600. Its totient is φ = 3584497618944.

The previous prime is 12079974234277. The next prime is 12079974234323. The reversal of 12079974234288 is 88243247997021.

12079974234288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 608767695 + ... + 608787537.

It is an arithmetic number, because the mean of its divisors is an integer number (108957847680).

Almost surely, 2^{12079974234288} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12079974234288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17433255628800).

12079974234288 is an abundant number, since it is smaller than the sum of its proper divisors (22786537023312).

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

12079974234288 is a wasteful number, since it uses less digits than its factorization.

12079974234288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20256 (or 20250 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 66.

The spelling of 12079974234288 in words is "twelve trillion, seventy-nine billion, nine hundred seventy-four million, two hundred thirty-four thousand, two hundred eighty-eight".