120580320 has 192 divisors, whose sum is σ = 459841536. Its totient is φ = 25927680.

The previous prime is 120580319. The next prime is 120580367. The reversal of 120580320 is 23085021.

It is a super-2 number, since 2×120580320² = 29079227142604800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56065 + ... + 58175.

It is an arithmetic number, because the mean of its divisors is an integer number (2395008).

Almost surely, 2^120580320 is an apocalyptic number.

120580320 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 120580320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229920768).

120580320 is an abundant number, since it is smaller than the sum of its proper divisors (339261216).

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

120580320 is a wasteful number, since it uses less digits than its factorization.

120580320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2153 (or 2145 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 120580320 is about 10980.9070663584. The cubic root of 120580320 is about 494.0362433592.

The spelling of 120580320 in words is "one hundred twenty million, five hundred eighty thousand, three hundred twenty".