122726400 has 288 divisors, whose sum is σ = 438721920. Its totient is φ = 30146560.

The previous prime is 122726399. The next prime is 122726423. The reversal of 122726400 is 4627221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2611177 + ... + 2611223.

It is an arithmetic number, because the mean of its divisors is an integer number (1523340).

Almost surely, 2^122726400 is an apocalyptic number.

122726400 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 122726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219360960).

122726400 is an abundant number, since it is smaller than the sum of its proper divisors (315995520).

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

122726400 is a wasteful number, since it uses less digits than its factorization.

122726400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 122726400 is about 11078.1947987928. The cubic root of 122726400 is about 496.9499657469.

The spelling of 122726400 in words is "one hundred twenty-two million, seven hundred twenty-six thousand, four hundred".