2212112112 has 160 divisors (see below), whose sum is σ = 6811706880. Its totient is φ = 605230080.

The previous prime is 2212112093. The next prime is 2212112129. The reversal of 2212112112 is 2112112122.

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

It is a junction number, because it is equal to n+sod(n) for n = 2212112091 and 2212112100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1275598 + ... + 1277330.

It is an arithmetic number, because the mean of its divisors is an integer number (42573168).

Almost surely, 2^2212112112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3405853440).

2212112112 is an abundant number, since it is smaller than the sum of its proper divisors (4599594768).

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

2212112112 is a wasteful number, since it uses less digits than its factorization.

2212112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1911 (or 1905 counting only the distinct ones).

The product of its digits is 32, while the sum is 15.

The square root of 2212112112 is about 47033.0959219144. The cubic root of 2212112112 is about 1302.9738844464.

Adding to 2212112112 its reverse (2112112122), we get a palindrome (4324224234).

The spelling of 2212112112 in words is "two billion, two hundred twelve million, one hundred twelve thousand, one hundred twelve".