120032320 has 28 divisors (see below), whose sum is σ = 285827724. Its totient is φ = 48012800.

The previous prime is 120032317. The next prime is 120032327. The reversal of 120032320 is 23230021.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 22733824 + 97298496 = 4768^2 + 9864^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 120032320.

It is not an unprimeable number, because it can be changed into a prime (120032327) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 187231 + ... + 187870.

It is an arithmetic number, because the mean of its divisors is an integer number (10208133).

Almost surely, 2^120032320 is an apocalyptic number.

120032320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120032320 is an abundant number, since it is smaller than the sum of its proper divisors (165795404).

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

120032320 is an equidigital number, since it uses as much as digits as its factorization.

120032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375118 (or 375108 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 120032320 is about 10955.9262502081. The cubic root of 120032320 is about 493.2866930990.

Adding to 120032320 its reverse (23230021), we get a palindrome (143262341).

The spelling of 120032320 in words is "one hundred twenty million, thirty-two thousand, three hundred twenty".