122111112 has 32 divisors (see below), whose sum is σ = 315806400. Its totient is φ = 39299904.

The previous prime is 122111111. The next prime is 122111131. The reversal of 122111112 is 211111221.

It is a super-2 number, since 2×122111112² = 29822247347753088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 not an unprimeable number, because it can be changed into a prime (122111111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87028 + ... + 88419.

It is an arithmetic number, because the mean of its divisors is an integer number (9868950).

Almost surely, 2^122111112 is an apocalyptic number.

122111112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122111112 is an abundant number, since it is smaller than the sum of its proper divisors (193695288).

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

122111112 is a wasteful number, since it uses less digits than its factorization.

122111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175485 (or 175481 counting only the distinct ones).

The product of its digits is 8, while the sum is 12.

The square root of 122111112 is about 11050.3896763870. The cubic root of 122111112 is about 496.1180888617.

Adding to 122111112 its reverse (211111221), we get a palindrome (333222333).

The spelling of 122111112 in words is "one hundred twenty-two million, one hundred eleven thousand, one hundred twelve".