122414198400 has 960 divisors, whose sum is σ = 515341937880. Its totient is φ = 28346941440.

The previous prime is 122414198381. The next prime is 122414198471. The reversal of 122414198400 is 4891414221.

122414198400 is a `hidden beast` number, since 1 + 2 + 24 + 141 + 98 + 400 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 825297984 + 121588900416 = 28728^2 + 348696^2 .

It is a tau number, because it is divible by the number of its divisors (960).

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 119 ways as a sum of consecutive naturals, for example, 57282132 + ... + 57284268.

Almost surely, 2^122414198400 is an apocalyptic number.

122414198400 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 122414198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257670968940).

122414198400 is an abundant number, since it is smaller than the sum of its proper divisors (392927739480).

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

122414198400 is a wasteful number, since it uses less digits than its factorization.

122414198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2203 (or 2177 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 122414198400 in words is "one hundred twenty-two billion, four hundred fourteen million, one hundred ninety-eight thousand, four hundred".