122635272 has 32 divisors (see below), whose sum is σ = 322725600. Its totient is φ = 38726784.

The previous prime is 122635243. The next prime is 122635277. The reversal of 122635272 is 272536221.

It is not an unprimeable number, because it can be changed into a prime (122635277) 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 7 ways as a sum of consecutive naturals, for example, 134013 + ... + 134924.

It is an arithmetic number, because the mean of its divisors is an integer number (10085175).

Almost surely, 2^122635272 is an apocalyptic number.

122635272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122635272 is an abundant number, since it is smaller than the sum of its proper divisors (200090328).

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

122635272 is a wasteful number, since it uses less digits than its factorization.

122635272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268965 (or 268961 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 122635272 is about 11074.0810905465. The cubic root of 122635272 is about 496.8269352502.

The spelling of 122635272 in words is "one hundred twenty-two million, six hundred thirty-five thousand, two hundred seventy-two".