122593812480 has 672 divisors, whose sum is σ = 467395194240. Its totient is φ = 29585571840.

The previous prime is 122593812479. The next prime is 122593812527. The reversal of 122593812480 is 84218395221.

122593812480 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 93 + 81 + 2 + 480 = 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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161095300 + ... + 161096060.

Almost surely, 2^122593812480 is an apocalyptic number.

122593812480 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 122593812480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233697597120).

122593812480 is an abundant number, since it is smaller than the sum of its proper divisors (344801381760).

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

122593812480 is a wasteful number, since it uses less digits than its factorization.

122593812480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 122593812480 in words is "one hundred twenty-two billion, five hundred ninety-three million, eight hundred twelve thousand, four hundred eighty".