122979600 has 240 divisors, whose sum is σ = 447441600. Its totient is φ = 32071680.

The previous prime is 122979583. The next prime is 122979611. The reversal of 122979600 is 6979221.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 637104 + ... + 637296.

It is an arithmetic number, because the mean of its divisors is an integer number (1864340).

Almost surely, 2^122979600 is an apocalyptic number.

122979600 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 122979600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223720800).

122979600 is an abundant number, since it is smaller than the sum of its proper divisors (324462000).

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

122979600 is a wasteful number, since it uses less digits than its factorization.

122979600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 122979600 is about 11089.6167652449. The cubic root of 122979600 is about 497.2914877491.

The spelling of 122979600 in words is "one hundred twenty-two million, nine hundred seventy-nine thousand, six hundred".