120565368 has 192 divisors, whose sum is σ = 421344000. Its totient is φ = 31268160.

The previous prime is 120565321. The next prime is 120565373. The reversal of 120565368 is 863565021.

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

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 47 ways as a sum of consecutive naturals, for example, 182623 + ... + 183281.

It is an arithmetic number, because the mean of its divisors is an integer number (2194500).

Almost surely, 2^120565368 is an apocalyptic number.

120565368 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 120565368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210672000).

120565368 is an abundant number, since it is smaller than the sum of its proper divisors (300778632).

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

120565368 is a wasteful number, since it uses less digits than its factorization.

120565368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 682 counting only the distinct ones).

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

The square root of 120565368 is about 10980.2262271777. The cubic root of 120565368 is about 494.0158222953.

It can be divided in two parts, 12056 and 5368, that added together give a square (17424 = 132²).

The spelling of 120565368 in words is "one hundred twenty million, five hundred sixty-five thousand, three hundred sixty-eight".