122312112 has 80 divisors (see below), whose sum is σ = 351310848. Its totient is φ = 36414720.

The previous prime is 122312089. The next prime is 122312123. The reversal of 122312112 is 211213221.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 122312091 and 122312100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16183 + ... + 22505.

Almost surely, 2^122312112 is an apocalyptic number.

122312112 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 122312112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175655424).

122312112 is an abundant number, since it is smaller than the sum of its proper divisors (228998736).

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

122312112 is a wasteful number, since it uses less digits than its factorization.

122312112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6378 (or 6372 counting only the distinct ones).

The product of its digits is 48, while the sum is 15.

The square root of 122312112 is about 11059.4806388004. The cubic root of 122312112 is about 496.3901500196.

Adding to 122312112 its reverse (211213221), we get a palindrome (333525333).

The spelling of 122312112 in words is "one hundred twenty-two million, three hundred twelve thousand, one hundred twelve".