12056164560 has 240 divisors, whose sum is σ = 45197875008. Its totient is φ = 2854656000.

The previous prime is 12056164543. The next prime is 12056164597. The reversal of 12056164560 is 6546165021.

12056164560 is a `hidden beast` number, since 1 + 2 + 0 + 5 + 6 + 1 + 645 + 6 + 0 = 666.

12056164560 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 (240).

It is a super-2 number, since 2×12056164560² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 322860 + ... + 358260.

Almost surely, 2^12056164560 is an apocalyptic number.

12056164560 is a gapful number since it is divisible by the number (10) 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 12056164560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22598937504).

12056164560 is an abundant number, since it is smaller than the sum of its proper divisors (33141710448).

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

12056164560 is a wasteful number, since it uses less digits than its factorization.

12056164560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35474 (or 35465 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 12056164560 in words is "twelve billion, fifty-six million, one hundred sixty-four thousand, five hundred sixty".