122992800 has 144 divisors (see below), whose sum is σ = 457595712. Its totient is φ = 28108800.

The previous prime is 122992783. The next prime is 122992801. The reversal of 122992800 is 8299221.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (122992801) 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, 13140 + ... + 20460.

It is an arithmetic number, because the mean of its divisors is an integer number (3177748).

Almost surely, 2^122992800 is an apocalyptic number.

122992800 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 122992800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228797856).

122992800 is an abundant number, since it is smaller than the sum of its proper divisors (334602912).

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

122992800 is a wasteful number, since it uses less digits than its factorization.

122992800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7351 (or 7338 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 122992800 is about 11090.2119005905. The cubic root of 122992800 is about 497.3092793525.

The spelling of 122992800 in words is "one hundred twenty-two million, nine hundred ninety-two thousand, eight hundred".