120538168824073 has 256 divisors, whose sum is σ = 173096121139200. Its totient is φ = 80939295360000.

The previous prime is 120538168824023. The next prime is 120538168824097. The reversal of 120538168824073 is 370428861835021.

It is not a de Polignac number, because 120538168824073 - 2³⁷ = 120400729870601 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120538168823999 and 120538168824017.

It is not an unprimeable number, because it can be changed into a prime (120538168824013) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 26744654686 + ... + 26744659192.

It is an arithmetic number, because the mean of its divisors is an integer number (676156723200).

Almost surely, 2^{120538168824073} is an apocalyptic number.

120538168824073 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

120538168824073 is a deficient number, since it is larger than the sum of its proper divisors (52557952315127).

120538168824073 is a wasteful number, since it uses less digits than its factorization.

120538168824073 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4900.

The product of its (nonzero) digits is 15482880, while the sum is 58.

The spelling of 120538168824073 in words is "one hundred twenty trillion, five hundred thirty-eight billion, one hundred sixty-eight million, eight hundred twenty-four thousand, seventy-three".