122718900480 has 576 divisors, whose sum is σ = 442312835328. Its totient is φ = 28736225280.

The previous prime is 122718900463. The next prime is 122718900503. The reversal of 122718900480 is 84009817221.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 364150872 + ... + 364151208.

It is an arithmetic number, because the mean of its divisors is an integer number (767904228).

Almost surely, 2^122718900480 is an apocalyptic number.

122718900480 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 122718900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221156417664).

122718900480 is an abundant number, since it is smaller than the sum of its proper divisors (319593934848).

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

122718900480 is a wasteful number, since it uses less digits than its factorization.

122718900480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The spelling of 122718900480 in words is "one hundred twenty-two billion, seven hundred eighteen million, nine hundred thousand, four hundred eighty".