120115411562124 has 144 divisors (see below), whose sum is σ = 341678034786816. Its totient is φ = 35258849769600.

The previous prime is 120115411562089. The next prime is 120115411562129. The reversal of 120115411562124 is 421265114511021.

120115411562124 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 1 + 5 + 4 + 1 + 1 + 5 + 621 + 24 = 666.

It is a super-2 number, since 2×120115411562124² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (120115411562129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14731012 + ... + 21383019.

It is an arithmetic number, because the mean of its divisors is an integer number (2372764130464).

Almost surely, 2^{120115411562124} is an apocalyptic number.

It is an amenable number.

120115411562124 is an abundant number, since it is smaller than the sum of its proper divisors (221562623224692).

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

120115411562124 is a wasteful number, since it uses less digits than its factorization.

120115411562124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36114316 (or 36114311 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 120115411562124 in words is "one hundred twenty trillion, one hundred fifteen billion, four hundred eleven million, five hundred sixty-two thousand, one hundred twenty-four".