122009708160 has 512 divisors, whose sum is σ = 463147891200. Its totient is φ = 30276550656.

The previous prime is 122009708159. The next prime is 122009708167. The reversal of 122009708160 is 61807900221.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (122009708167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14701132 + ... + 14709428.

It is an arithmetic number, because the mean of its divisors is an integer number (904585725).

Almost surely, 2^122009708160 is an apocalyptic number.

122009708160 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 122009708160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231573945600).

122009708160 is an abundant number, since it is smaller than the sum of its proper divisors (341138183040).

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

122009708160 is a wasteful number, since it uses less digits than its factorization.

122009708160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8385 (or 8367 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 122009708160 in words is "one hundred twenty-two billion, nine million, seven hundred eight thousand, one hundred sixty".