122085120 has 72 divisors (see below), whose sum is σ = 389921616. Its totient is φ = 32555008.

The previous prime is 122085091. The next prime is 122085133. The reversal of 122085120 is 21580221.

It is a happy number.

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 7 ways as a sum of consecutive naturals, for example, 12057 + ... + 19736.

It is an arithmetic number, because the mean of its divisors is an integer number (5415578).

Almost surely, 2^122085120 is an apocalyptic number.

122085120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122085120 is an abundant number, since it is smaller than the sum of its proper divisors (267836496).

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

122085120 is an equidigital number, since it uses as much as digits as its factorization.

122085120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31817 (or 31803 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 122085120 is about 11049.2135466738. The cubic root of 122085120 is about 496.0828859055.

The spelling of 122085120 in words is "one hundred twenty-two million, eighty-five thousand, one hundred twenty".