112064927121 has 81 divisors (see below), whose sum is σ = 198968830281. Its totient is φ = 60594419088.

The previous prime is 112064927089. The next prime is 112064927167. The reversal of 112064927121 is 121729460211.

The square root of 112064927121 is 334761.

It is a perfect power (a square), and thus also a powerful number.

112064927121 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 649 + 2 + 7 + 1 + 2 + 1 = 666.

It is not a de Polignac number, because 112064927121 - 2⁵ = 112064927089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112064927921) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 133569220 + ... + 133570058.

Almost surely, 2^112064927121 is an apocalyptic number.

112064927121 is the 334761-st square number.

112064927121 is the 167381-st centered octagonal number.

It is an amenable number.

112064927121 is a deficient number, since it is larger than the sum of its proper divisors (86903903160).

112064927121 is an frugal number, since it uses more digits than its factorization.

112064927121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1736 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

Multiplying 112064927121 by its sum of digits (36), we get a square (4034337376356 = 2008566²).

The spelling of 112064927121 in words is "one hundred twelve billion, sixty-four million, nine hundred twenty-seven thousand, one hundred twenty-one".