122733390120 has 128 divisors (see below), whose sum is σ = 411469994880. Its totient is φ = 29027840000.

The previous prime is 122733390113. The next prime is 122733390121. The reversal of 122733390120 is 21093337221.

It is a super-4 number, since 4×122733390120⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (122733390121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1079781 + ... + 1188020.

It is an arithmetic number, because the mean of its divisors is an integer number (3214609335).

Almost surely, 2^122733390120 is an apocalyptic number.

122733390120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122733390120 is an abundant number, since it is smaller than the sum of its proper divisors (288736604760).

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

122733390120 is a wasteful number, since it uses less digits than its factorization.

122733390120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2267867 (or 2267863 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The spelling of 122733390120 in words is "one hundred twenty-two billion, seven hundred thirty-three million, three hundred ninety thousand, one hundred twenty".