122468699120400 has 300 divisors, whose sum is σ = 440240470661200. Its totient is φ = 32605554620160.

The previous prime is 122468699120381. The next prime is 122468699120477. The reversal of 122468699120400 is 4021996864221.

122468699120400 is a `hidden beast` number, since 1 + 2 + 24 + 6 + 8 + 6 + 99 + 120 + 400 = 666.

122468699120400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 17002371 + ... + 23108829.

Almost surely, 2^{122468699120400} is an apocalyptic number.

122468699120400 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 122468699120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220120235330600).

122468699120400 is an abundant number, since it is smaller than the sum of its proper divisors (317771771540800).

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

122468699120400 is a wasteful number, since it uses less digits than its factorization.

122468699120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6107108 (or 6107088 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 122468699120400 in words is "one hundred twenty-two trillion, four hundred sixty-eight billion, six hundred ninety-nine million, one hundred twenty thousand, four hundred".