120715839029776 has 135 divisors (see below), whose sum is σ = 244585266457077. Its totient is φ = 57716428677120.

The previous prime is 120715839029741. The next prime is 120715839029789. The reversal of 120715839029776 is 677920938517021.

The square root of 120715839029776 is 10987076.

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

It can be written as a sum of positive squares in 13 ways, for example, as 96065011228176 + 24650827801600 = 9801276^2 + 4964960^2 .

It is a super-2 number, since 2×120715839029776² (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 (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 99191321520 + ... + 99191322736.

Almost surely, 2^{120715839029776} is an apocalyptic number.

120715839029776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

120715839029776 is the 10987076-th square number.

It is an amenable number.

120715839029776 is an abundant number, since it is smaller than the sum of its proper divisors (123869427427301).

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

120715839029776 is an frugal number, since it uses more digits than its factorization.

120715839029776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2638 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 80015040, while the sum is 67.

The spelling of 120715839029776 in words is "one hundred twenty trillion, seven hundred fifteen billion, eight hundred thirty-nine million, twenty-nine thousand, seven hundred seventy-six".