122974800 has 120 divisors (see below), whose sum is σ = 424285344. Its totient is φ = 30266880.

The previous prime is 122974793. The next prime is 122974807. The reversal of 122974800 is 8479221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122974793) and next prime (122974807).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122974807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11659 + ... + 19541.

Almost surely, 2^122974800 is an apocalyptic number.

122974800 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 122974800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212142672).

122974800 is an abundant number, since it is smaller than the sum of its proper divisors (301310544).

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

122974800 is a wasteful number, since it uses less digits than its factorization.

122974800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7917 (or 7906 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 122974800 is about 11089.4003444731. The cubic root of 122974800 is about 497.2850177595.

The spelling of 122974800 in words is "one hundred twenty-two million, nine hundred seventy-four thousand, eight hundred".