122974400 has 84 divisors (see below), whose sum is σ = 305196240. Its totient is φ = 48768000.

The previous prime is 122974391. The next prime is 122974409. The reversal of 122974400 is 4479221.

It is an interprime number because it is at equal distance from previous prime (122974391) and next prime (122974409).

It is not an unprimeable number, because it can be changed into a prime (122974409) 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 11 ways as a sum of consecutive naturals, for example, 241346 + ... + 241854.

Almost surely, 2^122974400 is an apocalyptic number.

122974400 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 122974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152598120).

122974400 is an abundant number, since it is smaller than the sum of its proper divisors (182221840).

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

122974400 is a wasteful number, since it uses less digits than its factorization.

122974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 122974400 is about 11089.3823092181. The cubic root of 122974400 is about 497.2844785861.

The spelling of 122974400 in words is "one hundred twenty-two million, nine hundred seventy-four thousand, four hundred".