12159906264 has 96 divisors (see below), whose sum is σ = 36013723200. Its totient is φ = 3675925440.

The previous prime is 12159906259. The next prime is 12159906281. The reversal of 12159906264 is 46260995121.

12159906264 is a `hidden beast` number, since 1 + 2 + 15 + 9 + 9 + 0 + 626 + 4 = 666.

12159906264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 313527 + ... + 350169.

It is an arithmetic number, because the mean of its divisors is an integer number (375142950).

Almost surely, 2^12159906264 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 12159906264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18006861600).

12159906264 is an abundant number, since it is smaller than the sum of its proper divisors (23853816936).

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

12159906264 is a wasteful number, since it uses less digits than its factorization.

12159906264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37085 (or 37078 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 12159906264 in words is "twelve billion, one hundred fifty-nine million, nine hundred six thousand, two hundred sixty-four".