122226944400 has 360 divisors, whose sum is σ = 470316475200. Its totient is φ = 29144448000.

The previous prime is 122226944393. The next prime is 122226944423. The reversal of 122226944400 is 4449622221.

122226944400 is a `hidden beast` number, since 1 + 22 + 226 + 9 + 4 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2390301 + ... + 2440899.

Almost surely, 2^122226944400 is an apocalyptic number.

122226944400 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 122226944400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235158237600).

122226944400 is an abundant number, since it is smaller than the sum of its proper divisors (348089530800).

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

122226944400 is a wasteful number, since it uses less digits than its factorization.

122226944400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50695 (or 50681 counting only the distinct ones).

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

The spelling of 122226944400 in words is "one hundred twenty-two billion, two hundred twenty-six million, nine hundred forty-four thousand, four hundred".