122131028160 has 168 divisors, whose sum is σ = 420324021936. Its totient is φ = 32549345280.

The previous prime is 122131028137. The next prime is 122131028191. The reversal of 122131028160 is 61820131221.

122131028160 is a `hidden beast` number, since 12 + 2 + 1 + 310 + 281 + 60 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5348287 + ... + 5371073.

It is an arithmetic number, because the mean of its divisors is an integer number (2501928702).

Almost surely, 2^122131028160 is an apocalyptic number.

122131028160 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 122131028160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210162010968).

122131028160 is an abundant number, since it is smaller than the sum of its proper divisors (298192993776).

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

122131028160 is a wasteful number, since it uses less digits than its factorization.

122131028160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24671 (or 24658 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 122131028160 its reverse (61820131221), we get a palindrome (183951159381).

The spelling of 122131028160 in words is "one hundred twenty-two billion, one hundred thirty-one million, twenty-eight thousand, one hundred sixty".