12052272190464 has 1056 divisors, whose sum is σ = 40918231710720. Its totient is φ = 3379956940800.

The previous prime is 12052272190457. The next prime is 12052272190477. The reversal of 12052272190464 is 46409127225021.

12052272190464 is a `hidden beast` number, since 1 + 2 + 0 + 522 + 72 + 19 + 0 + 46 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13288061499 + ... + 13288062405.

Almost surely, 2^{12052272190464} 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 12052272190464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20459115855360).

12052272190464 is an abundant number, since it is smaller than the sum of its proper divisors (28865959520256).

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

12052272190464 is a wasteful number, since it uses less digits than its factorization.

12052272190464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 12052272190464 in words is "twelve trillion, fifty-two billion, two hundred seventy-two million, one hundred ninety thousand, four hundred sixty-four".