122888172 has 96 divisors (see below), whose sum is σ = 345752064. Its totient is φ = 33510400.

The previous prime is 122888153. The next prime is 122888173. The reversal of 122888172 is 271888221.

It is a self number, because there is not a number n which added to its sum of digits gives 122888172.

It is not an unprimeable number, because it can be changed into a prime (122888173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50422 + ... + 52802.

It is an arithmetic number, because the mean of its divisors is an integer number (3601584).

Almost surely, 2^122888172 is an apocalyptic number.

122888172 is a gapful number since it is divisible by the number (12) 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 122888172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172876032).

122888172 is an abundant number, since it is smaller than the sum of its proper divisors (222863892).

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

122888172 is a wasteful number, since it uses less digits than its factorization.

122888172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2439 (or 2437 counting only the distinct ones).

The product of its digits is 28672, while the sum is 39.

The square root of 122888172 is about 11085.4937643751. The cubic root of 122888172 is about 497.1682216736.

The spelling of 122888172 in words is "one hundred twenty-two million, eight hundred eighty-eight thousand, one hundred seventy-two".