12164518872 has 256 divisors, whose sum is σ = 38864448000. Its totient is φ = 3490905600.

The previous prime is 12164518859. The next prime is 12164518879. The reversal of 12164518872 is 27881546121.

12164518872 is a `hidden beast` number, since 1 + 2 + 1 + 64 + 518 + 8 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12164518879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3650247 + ... + 3653577.

It is an arithmetic number, because the mean of its divisors is an integer number (151814250).

Almost surely, 2^12164518872 is an apocalyptic number.

12164518872 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 12164518872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19432224000).

12164518872 is an abundant number, since it is smaller than the sum of its proper divisors (26699929128).

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

12164518872 is a wasteful number, since it uses less digits than its factorization.

12164518872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3439 (or 3429 counting only the distinct ones).

The product of its digits is 215040, while the sum is 45.

The spelling of 12164518872 in words is "twelve billion, one hundred sixty-four million, five hundred eighteen thousand, eight hundred seventy-two".