122007966080 has 768 divisors, whose sum is σ = 404831831040. Its totient is φ = 33953955840.

The previous prime is 122007966049. The next prime is 122007966083. The reversal of 122007966080 is 80669700221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122007966083) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1184543309 + ... + 1184543411.

It is an arithmetic number, because the mean of its divisors is an integer number (527124780).

Almost surely, 2^122007966080 is an apocalyptic number.

122007966080 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 122007966080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202415915520).

122007966080 is an abundant number, since it is smaller than the sum of its proper divisors (282823864960).

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

122007966080 is a wasteful number, since it uses less digits than its factorization.

122007966080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The spelling of 122007966080 in words is "one hundred twenty-two billion, seven million, nine hundred sixty-six thousand, eighty".