122508800870400 has 3456 divisors, whose sum is σ = 558159575500800. Its totient is φ = 26169783091200.

The previous prime is 122508800870371. The next prime is 122508800870419. The reversal of 122508800870400 is 4078008805221.

It is a happy number.

122508800870400 is a `hidden beast` number, since 1 + 22 + 508 + 8 + 0 + 0 + 87 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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 (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 219943986922 + ... + 219943987478.

It is an arithmetic number, because the mean of its divisors is an integer number (161504506800).

Almost surely, 2^{122508800870400} is an apocalyptic number.

122508800870400 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 122508800870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279079787750400).

122508800870400 is an abundant number, since it is smaller than the sum of its proper divisors (435650774630400).

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

122508800870400 is a wasteful number, since it uses less digits than its factorization.

122508800870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 122508800870400 in words is "one hundred twenty-two trillion, five hundred eight billion, eight hundred million, eight hundred seventy thousand, four hundred".