120608224336656 has 320 divisors, whose sum is σ = 423238096028160. Its totient is φ = 32098107064320.

The previous prime is 120608224336627. The next prime is 120608224336657. The reversal of 120608224336656 is 656633422806021.

It is a happy number.

120608224336656 is a `hidden beast` number, since 1 + 2 + 0 + 6 + 0 + 8 + 224 + 3 + 366 + 56 = 666.

It is a super-2 number, since 2×120608224336656² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (120608224336657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7106715 + ... + 17079866.

It is an arithmetic number, because the mean of its divisors is an integer number (1322619050088).

Almost surely, 2^{120608224336656} is an apocalyptic number.

120608224336656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

120608224336656 is an abundant number, since it is smaller than the sum of its proper divisors (302629871691504).

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

120608224336656 is a wasteful number, since it uses less digits than its factorization.

120608224336656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24186719 (or 24186707 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 120608224336656 in words is "one hundred twenty trillion, six hundred eight billion, two hundred twenty-four million, three hundred thirty-six thousand, six hundred fifty-six".