120712380350705 has 72 divisors (see below), whose sum is σ = 174347711548920. Its totient is φ = 80127140121600.

The previous prime is 120712380350701. The next prime is 120712380350791. The reversal of 120712380350705 is 507053083217021.

It can be written as a sum of positive squares in 12 ways, for example, as 105963224296336 + 14749156054369 = 10293844^2 + 3840463^2 .

It is not a de Polignac number, because 120712380350705 - 2² = 120712380350701 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120712380350701) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2467115 + ... + 15732495.

It is an arithmetic number, because the mean of its divisors is an integer number (2421495993735).

Almost surely, 2^{120712380350705} is an apocalyptic number.

It is an amenable number.

120712380350705 is a deficient number, since it is larger than the sum of its proper divisors (53635331198215).

120712380350705 is a wasteful number, since it uses less digits than its factorization.

120712380350705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13265523 (or 13265499 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 44.

The spelling of 120712380350705 in words is "one hundred twenty trillion, seven hundred twelve billion, three hundred eighty million, three hundred fifty thousand, seven hundred five".