122393728800 has 1458 divisors, whose sum is σ = 547513302609. Its totient is φ = 25648358400.

The previous prime is 122393728799. The next prime is 122393728823. The reversal of 122393728800 is 8827393221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 119945854224 + 2447874576 = 346332^2 + 49476^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=247380.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 3948184785 + ... + 3948184815.

Almost surely, 2^122393728800 is an apocalyptic number.

122393728800 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 122393728800

122393728800 is an abundant number, since it is smaller than the sum of its proper divisors (425119573809).

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

122393728800 is a wasteful number, since it uses less digits than its factorization.

122393728800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 122393728800 in words is "one hundred twenty-two billion, three hundred ninety-three million, seven hundred twenty-eight thousand, eight hundred".