122400554410520 has 128 divisors (see below), whose sum is σ = 294550685936640. Its totient is φ = 45672762769920.

The previous prime is 122400554410489. The next prime is 122400554410553. The reversal of 122400554410520 is 25014455004221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 627155 + ... + 15658685.

It is an arithmetic number, because the mean of its divisors is an integer number (2301177233880).

Almost surely, 2^{122400554410520} is an apocalyptic number.

122400554410520 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 122400554410520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147275342968320).

122400554410520 is an abundant number, since it is smaller than the sum of its proper divisors (172150131526120).

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

122400554410520 is a wasteful number, since it uses less digits than its factorization.

122400554410520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15031785 (or 15031781 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 35.

The spelling of 122400554410520 in words is "one hundred twenty-two trillion, four hundred billion, five hundred fifty-four million, four hundred ten thousand, five hundred twenty".