3111122112 has 84 divisors (see below), whose sum is σ = 9575459640. Its totient is φ = 888889344.

The previous prime is 3111122093. The next prime is 3111122173. The reversal of 3111122112 is 2112211113.

It is a tau number, because it is divible by the number of its divisors (84).

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 = 3111122091 and 3111122100.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 155937 + ... + 174752.

Almost surely, 2^3111122112 is an apocalyptic number.

3111122112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3111122112 is an abundant number, since it is smaller than the sum of its proper divisors (6464337528).

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

3111122112 is a wasteful number, since it uses less digits than its factorization.

3111122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330718 (or 330701 counting only the distinct ones).

The product of its digits is 24, while the sum is 15.

The square root of 3111122112 is about 55777.4337165130. The cubic root of 3111122112 is about 1459.8414339583.

Adding to 3111122112 its reverse (2112211113), we get a palindrome (5223333225).

The spelling of 3111122112 in words is "three billion, one hundred eleven million, one hundred twenty-two thousand, one hundred twelve".