122839593120 has 384 divisors, whose sum is σ = 447068160000. Its totient is φ = 31467709440.

The previous prime is 122839593119. The next prime is 122839593139. The reversal of 122839593120 is 21395938221.

122839593120 is a `hidden beast` number, since 1 + 2 + 2 + 8 + 39 + 593 + 1 + 20 = 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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18611581 + ... + 18618179.

It is an arithmetic number, because the mean of its divisors is an integer number (1164240000).

Almost surely, 2^122839593120 is an apocalyptic number.

122839593120 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 122839593120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223534080000).

122839593120 is an abundant number, since it is smaller than the sum of its proper divisors (324228566880).

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

122839593120 is a wasteful number, since it uses less digits than its factorization.

122839593120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6793 (or 6779 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 122839593120 in words is "one hundred twenty-two billion, eight hundred thirty-nine million, five hundred ninety-three thousand, one hundred twenty".