122126172 has 24 divisors (see below), whose sum is σ = 325670016. Its totient is φ = 34893168.

The previous prime is 122126141. The next prime is 122126183. The reversal of 122126172 is 271621221.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 726858 + ... + 727025.

It is an arithmetic number, because the mean of its divisors is an integer number (13569584).

Almost surely, 2^122126172 is an apocalyptic number.

122126172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122126172 is an abundant number, since it is smaller than the sum of its proper divisors (203543844).

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

122126172 is a wasteful number, since it uses less digits than its factorization.

122126172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1453897 (or 1453895 counting only the distinct ones).

The product of its digits is 672, while the sum is 24.

The square root of 122126172 is about 11051.0710793117. The cubic root of 122126172 is about 496.1384834875.

Adding to 122126172 its reverse (271621221), we get a palindrome (393747393).

The spelling of 122126172 in words is "one hundred twenty-two million, one hundred twenty-six thousand, one hundred seventy-two".