12167970624 has 168 divisors, whose sum is σ = 35775717120. Its totient is φ = 3952284672.

The previous prime is 12167970599. The next prime is 12167970641. The reversal of 12167970624 is 42607976121.

12167970624 is a `hidden beast` number, since 1 + 2 + 16 + 7 + 9 + 7 + 0 + 624 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12167970624.

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, 7119082 + ... + 7120790.

Almost surely, 2^12167970624 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 12167970624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17887858560).

12167970624 is an abundant number, since it is smaller than the sum of its proper divisors (23607746496).

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

12167970624 is a wasteful number, since it uses less digits than its factorization.

12167970624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2037 (or 2024 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 12167970624 in words is "twelve billion, one hundred sixty-seven million, nine hundred seventy thousand, six hundred twenty-four".