122100160 has 168 divisors, whose sum is σ = 364845600. Its totient is φ = 38578176.

The previous prime is 122100157. The next prime is 122100193. The reversal of 122100160 is 61001221.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 122100160.

It is a congruent number.

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, 203541 + ... + 204139.

It is an arithmetic number, because the mean of its divisors is an integer number (2171700).

Almost surely, 2^122100160 is an apocalyptic number.

122100160 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 122100160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182422800).

122100160 is an abundant number, since it is smaller than the sum of its proper divisors (242745440).

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

122100160 is a wasteful number, since it uses less digits than its factorization.

122100160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 122100160 is about 11049.8941171398. The cubic root of 122100160 is about 496.1032563384.

Adding to 122100160 its reverse (61001221), we get a palindrome (183101381).

The spelling of 122100160 in words is "one hundred twenty-two million, one hundred thousand, one hundred sixty".