12132711097344 has 352 divisors, whose sum is σ = 36230727478400. Its totient is φ = 4010654269440.

The previous prime is 12132711097337. The next prime is 12132711097387. The reversal of 12132711097344 is 44379011723121.

12132711097344 is a `hidden beast` number, since 1 + 2 + 132 + 71 + 109 + 7 + 344 = 666.

It is a super-2 number, since 2×12132711097344² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12132711097344.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1896621954 + ... + 1896628350.

Almost surely, 2^{12132711097344} 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 12132711097344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18115363739200).

12132711097344 is an abundant number, since it is smaller than the sum of its proper divisors (24098016381056).

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

12132711097344 is a wasteful number, since it uses less digits than its factorization.

12132711097344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6986 (or 6962 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 12132711097344 in words is "twelve trillion, one hundred thirty-two billion, seven hundred eleven million, ninety-seven thousand, three hundred forty-four".