122074400 has 72 divisors (see below), whose sum is σ = 340603200. Its totient is φ = 41852160.

The previous prime is 122074397. The next prime is 122074417. The reversal of 122074400 is 4470221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5300 + ... + 16499.

It is an arithmetic number, because the mean of its divisors is an integer number (4730600).

Almost surely, 2^122074400 is an apocalyptic number.

122074400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122074400 is an abundant number, since it is smaller than the sum of its proper divisors (218528800).

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

122074400 is a wasteful number, since it uses less digits than its factorization.

122074400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21826 (or 21813 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 122074400 is about 11048.7284336253. The cubic root of 122074400 is about 496.0683655331.

The spelling of 122074400 in words is "one hundred twenty-two million, seventy-four thousand, four hundred".