122088320 has 32 divisors (see below), whose sum is σ = 291868920. Its totient is φ = 48835072.

The previous prime is 122088313. The next prime is 122088353. The reversal of 122088320 is 23880221.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 122088320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 94742 + ... + 96021.

Almost surely, 2^122088320 is an apocalyptic number.

122088320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122088320 is an abundant number, since it is smaller than the sum of its proper divisors (169780600).

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

122088320 is an equidigital number, since it uses as much as digits as its factorization.

122088320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190782 (or 190770 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 122088320 is about 11049.3583524112. The cubic root of 122088320 is about 496.0872201802.

The spelling of 122088320 in words is "one hundred twenty-two million, eighty-eight thousand, three hundred twenty".