122644922400 has 2916 divisors, whose sum is σ = 634009385646. Its totient is φ = 22140518400.

The previous prime is 122644922377. The next prime is 122644922501. The reversal of 122644922400 is 4229446221.

122644922400 is a `hidden beast` number, since 1 + 2 + 2 + 644 + 9 + 2 + 2 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 7683984 + 122637238416 = 2772^2 + 350196^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 485 ways as a sum of consecutive naturals, for example, 7214407192 + ... + 7214407208.

Almost surely, 2^122644922400 is an apocalyptic number.

122644922400 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 122644922400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317004692823).

122644922400 is an abundant number, since it is smaller than the sum of its proper divisors (511364463246).

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

122644922400 is a wasteful number, since it uses less digits than its factorization.

122644922400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 122644922400 in words is "one hundred twenty-two billion, six hundred forty-four million, nine hundred twenty-two thousand, four hundred".