120362138857024 has 63 divisors (see below), whose sum is σ = 240262507976817. Its totient is φ = 59825653949184.

The previous prime is 120362138857001. The next prime is 120362138857039. The reversal of 120362138857024 is 420758831263021.

The square root of 120362138857024 is 10970968.

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

It can be written as a sum of positive squares in only one way, i.e., 109487762049600 + 10874376807424 = 10463640^2 + 3297632^2 .

It is a super-2 number, since 2×120362138857024² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15183815749 + ... + 15183823675.

Almost surely, 2^{120362138857024} is an apocalyptic number.

120362138857024 is the 10970968-th square number.

It is an amenable number.

120362138857024 is a deficient number, since it is larger than the sum of its proper divisors (119900369119793).

120362138857024 is an frugal number, since it uses more digits than its factorization.

120362138857024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16212 (or 8102 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 52.

The spelling of 120362138857024 in words is "one hundred twenty trillion, three hundred sixty-two billion, one hundred thirty-eight million, eight hundred fifty-seven thousand, twenty-four".