120408320 has 72 divisors (see below), whose sum is σ = 303656640. Its totient is φ = 45619200.

The previous prime is 120408307. The next prime is 120408347. The reversal of 120408320 is 23804021.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 120408292 and 120408301.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21845 + ... + 26795.

Almost surely, 2^120408320 is an apocalyptic number.

120408320 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 120408320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151828320).

120408320 is an abundant number, since it is smaller than the sum of its proper divisors (183248320).

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

120408320 is an equidigital number, since it uses as much as digits as its factorization.

120408320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4991 (or 4977 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 120408320 is about 10973.0724958874. The cubic root of 120408320 is about 493.8012280341.

The spelling of 120408320 in words is "one hundred twenty million, four hundred eight thousand, three hundred twenty".