12045536160 has 96 divisors (see below), whose sum is σ = 43363942272. Its totient is φ = 2753264640.

The previous prime is 12045536123. The next prime is 12045536171. The reversal of 12045536160 is 6163554021.

12045536160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 1789131 + ... + 1795850.

It is an arithmetic number, because the mean of its divisors is an integer number (451707732).

Almost surely, 2^12045536160 is an apocalyptic number.

12045536160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12045536160 is an abundant number, since it is smaller than the sum of its proper divisors (31318406112).

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

12045536160 is a wasteful number, since it uses less digits than its factorization.

12045536160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3585006 (or 3584998 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 12045536160 in words is "twelve billion, forty-five million, five hundred thirty-six thousand, one hundred sixty".