120407608817152 has 80 divisors (see below), whose sum is σ = 257357916945360. Its totient is φ = 56078255259648.

The previous prime is 120407608817149. The next prime is 120407608817161. The reversal of 120407608817152 is 251718806704021.

It is a super-2 number, since 2×120407608817152² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 120407608817152.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70462902 + ... + 72151477.

It is an arithmetic number, because the mean of its divisors is an integer number (3216973961817).

Almost surely, 2^{120407608817152} is an apocalyptic number.

It is an amenable number.

120407608817152 is an abundant number, since it is smaller than the sum of its proper divisors (136950308128208).

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

120407608817152 is an equidigital number, since it uses as much as digits as its factorization.

120407608817152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142614511 (or 142614495 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 52.

The spelling of 120407608817152 in words is "one hundred twenty trillion, four hundred seven billion, six hundred eight million, eight hundred seventeen thousand, one hundred fifty-two".