120229920 has 120 divisors (see below), whose sum is σ = 424357164. Its totient is φ = 32057856.

The previous prime is 120229903. The next prime is 120229957. The reversal of 120229920 is 29922021.

It can be written as a sum of positive squares in 2 ways, for example, as 118984464 + 1245456 = 10908^2 + 1116^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8322 + ... + 17598.

Almost surely, 2^120229920 is an apocalyptic number.

120229920 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 120229920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212178582).

120229920 is an abundant number, since it is smaller than the sum of its proper divisors (304127244).

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

120229920 is an equidigital number, since it uses as much as digits as its factorization.

120229920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9304 (or 9287 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 120229920 is about 10964.9404923146. The cubic root of 120229920 is about 493.5572313778.

The spelling of 120229920 in words is "one hundred twenty million, two hundred twenty-nine thousand, nine hundred twenty".