122356400 has 60 divisors (see below), whose sum is σ = 296672232. Its totient is φ = 48491520.

The previous prime is 122356397. The next prime is 122356417. The reversal of 122356400 is 4653221.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 43847 + ... + 46553.

Almost surely, 2^122356400 is an apocalyptic number.

122356400 is a gapful number since it is divisible by the number (10) 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 122356400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148336116).

122356400 is an abundant number, since it is smaller than the sum of its proper divisors (174315832).

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

122356400 is a wasteful number, since it uses less digits than its factorization.

122356400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2838 (or 2827 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 122356400 is about 11061.4827215885. The cubic root of 122356400 is about 496.4500554362.

The spelling of 122356400 in words is "one hundred twenty-two million, three hundred fifty-six thousand, four hundred".