120556368 has 120 divisors (see below), whose sum is σ = 358831200. Its totient is φ = 37677312.

The previous prime is 120556357. The next prime is 120556369. The reversal of 120556368 is 863655021.

120556368 is a `hidden beast` number, since 12 + 0 + 5 + 5 + 636 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120556369) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 380146 + ... + 380462.

It is an arithmetic number, because the mean of its divisors is an integer number (2990260).

Almost surely, 2^120556368 is an apocalyptic number.

120556368 is a gapful number since it is divisible by the number (18) 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 120556368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179415600).

120556368 is an abundant number, since it is smaller than the sum of its proper divisors (238274832).

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

120556368 is a wasteful number, since it uses less digits than its factorization.

120556368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 120556368 is about 10979.8163919075. The cubic root of 120556368 is about 494.0035295087.

The spelling of 120556368 in words is "one hundred twenty million, five hundred fifty-six thousand, three hundred sixty-eight".