120237613056 has 1008 divisors, whose sum is σ = 439384196160. Its totient is φ = 32487505920.

The previous prime is 120237613043. The next prime is 120237613079. The reversal of 120237613056 is 650316732021.

120237613056 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 37 + 613 + 0 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 120237613056.

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 71 ways as a sum of consecutive naturals, for example, 6328295415 + ... + 6328295433.

It is an arithmetic number, because the mean of its divisors is an integer number (435897020).

Almost surely, 2^120237613056 is an apocalyptic number.

120237613056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120237613056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219692098080).

120237613056 is an abundant number, since it is smaller than the sum of its proper divisors (319146583104).

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

120237613056 is an equidigital number, since it uses as much as digits as its factorization.

120237613056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 120237613056 in words is "one hundred twenty billion, two hundred thirty-seven million, six hundred thirteen thousand, fifty-six".