122793885984 has 768 divisors, whose sum is σ = 435205177344. Its totient is φ = 29623587840.

The previous prime is 122793885979. The next prime is 122793885997. The reversal of 122793885984 is 489588397221.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 966880929 + ... + 966881055.

It is an arithmetic number, because the mean of its divisors is an integer number (566673408).

Almost surely, 2^122793885984 is an apocalyptic number.

122793885984 is a gapful number since it is divisible by the number (14) 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 122793885984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217602588672).

122793885984 is an abundant number, since it is smaller than the sum of its proper divisors (312411291360).

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

122793885984 is a wasteful number, since it uses less digits than its factorization.

122793885984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 220 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 66.

The spelling of 122793885984 in words is "one hundred twenty-two billion, seven hundred ninety-three million, eight hundred eighty-five thousand, nine hundred eighty-four".