122396400 has 240 divisors, whose sum is σ = 498182400. Its totient is φ = 27959040.

The previous prime is 122396389. The next prime is 122396411. The reversal of 122396400 is 4693221.

122396400 is a `hidden beast` number, since 12 + 2 + 3 + 9 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (122396389) and next prime (122396411).

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 (27).

It is a congruent number.

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, 74791 + ... + 76409.

It is an arithmetic number, because the mean of its divisors is an integer number (2075760).

Almost surely, 2^122396400 is an apocalyptic number.

122396400 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 122396400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249091200).

122396400 is an abundant number, since it is smaller than the sum of its proper divisors (375786000).

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

122396400 is a wasteful number, since it uses less digits than its factorization.

122396400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1653 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 122396400 is about 11063.2906497118. The cubic root of 122396400 is about 496.5041483393.

The spelling of 122396400 in words is "one hundred twenty-two million, three hundred ninety-six thousand, four hundred".