122255241872400 has 5760 divisors, whose sum is σ = 593983982592000. Its totient is φ = 23203603906560.

The previous prime is 122255241872347. The next prime is 122255241872411. The reversal of 122255241872400 is 4278142552221.

122255241872400 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 5 + 524 + 1 + 87 + 2 + 40 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 1121607723546 + ... + 1121607723654.

It is an arithmetic number, because the mean of its divisors is an integer number (103122219200).

Almost surely, 2^{122255241872400} is an apocalyptic number.

122255241872400 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 122255241872400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296991991296000).

122255241872400 is an abundant number, since it is smaller than the sum of its proper divisors (471728740719600).

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

122255241872400 is a wasteful number, since it uses less digits than its factorization.

122255241872400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 122255241872400 in words is "one hundred twenty-two trillion, two hundred fifty-five billion, two hundred forty-one million, eight hundred seventy-two thousand, four hundred".