120913920 has 204 divisors, whose sum is σ = 429388596. Its totient is φ = 31457280.

The previous prime is 120913901. The next prime is 120913927. The reversal of 120913920 is 29319021.

It can be written as a sum of positive squares in 2 ways, for example, as 21233664 + 99680256 = 4608^2 + 9984^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120913927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2949100 + ... + 2949140.

Almost surely, 2^120913920 is an apocalyptic number.

120913920 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 120913920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214694298).

120913920 is an abundant number, since it is smaller than the sum of its proper divisors (308474676).

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

120913920 is an frugal number, since it uses more digits than its factorization.

120913920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 120913920 is about 10996.0865765962. The cubic root of 120913920 is about 494.4914274628.

It can be divided in two parts, 1209 and 13920, that added together give a square (15129 = 123²).

The spelling of 120913920 in words is "one hundred twenty million, nine hundred thirteen thousand, nine hundred twenty".