122250134160 has 960 divisors, whose sum is σ = 534861909504. Its totient is φ = 24286003200.

The previous prime is 122250134159. The next prime is 122250134173. The reversal of 122250134160 is 61431052221.

122250134160 is a `hidden beast` number, since 12 + 2 + 250 + 1 + 341 + 60 = 666.

122250134160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 125127592 + ... + 125128568.

Almost surely, 2^122250134160 is an apocalyptic number.

122250134160 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 122250134160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267430954752).

122250134160 is an abundant number, since it is smaller than the sum of its proper divisors (412611775344).

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

122250134160 is a wasteful number, since it uses less digits than its factorization.

122250134160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 122250134160 its reverse (61431052221), we get a palindrome (183681186381).

The spelling of 122250134160 in words is "one hundred twenty-two billion, two hundred fifty million, one hundred thirty-four thousand, one hundred sixty".