123166051225632 has 72 divisors (see below), whose sum is σ = 352031394670956. Its totient is φ = 40846947595776.

The previous prime is 123166051225589. The next prime is 123166051225639. The reversal of 123166051225632 is 236522150661321.

123166051225632 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 6 + 6 + 0 + 5 + 1 + 2 + 2 + 5 + 632 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 116438688536976 + 6727362688656 = 10790676^2 + 2593716^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (123166051225639) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1085374483 + ... + 1085487954.

Almost surely, 2^{123166051225632} is an apocalyptic number.

123166051225632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123166051225632 is an abundant number, since it is smaller than the sum of its proper divisors (228865343445324).

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

123166051225632 is a wasteful number, since it uses less digits than its factorization.

123166051225632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2170862650 (or 2170862639 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 123166051225632 in words is "one hundred twenty-three trillion, one hundred sixty-six billion, fifty-one million, two hundred twenty-five thousand, six hundred thirty-two".