122372208 has 300 divisors, whose sum is σ = 431034912. Its totient is φ = 33384960.

The previous prime is 122372207. The next prime is 122372219. The reversal of 122372208 is 802273221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122372203) 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 59 ways as a sum of consecutive naturals, for example, 2603641 + ... + 2603687.

Almost surely, 2^122372208 is an apocalyptic number.

122372208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122372208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215517456).

122372208 is an abundant number, since it is smaller than the sum of its proper divisors (308662704).

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

122372208 is a wasteful number, since it uses less digits than its factorization.

122372208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 122372208 is about 11062.1972500946. The cubic root of 122372208 is about 496.4714343602.

The spelling of 122372208 in words is "one hundred twenty-two million, three hundred seventy-two thousand, two hundred eight".