120918720 has 112 divisors (see below), whose sum is σ = 413491680. Its totient is φ = 29761536.

The previous prime is 120918703. The next prime is 120918761. The reversal of 120918720 is 27819021.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7636 + ... + 17324.

It is an arithmetic number, because the mean of its divisors is an integer number (3691890).

Almost surely, 2^120918720 is an apocalyptic number.

120918720 is a gapful number since it is divisible by the number (10) 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 120918720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206745840).

120918720 is an abundant number, since it is smaller than the sum of its proper divisors (292572960).

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

120918720 is a wasteful number, since it uses less digits than its factorization.

120918720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9722 (or 9712 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 120918720 is about 10996.3048338976. The cubic root of 120918720 is about 494.4979707608.

The spelling of 120918720 in words is "one hundred twenty million, nine hundred eighteen thousand, seven hundred twenty".