2112112212 has 192 divisors, whose sum is σ = 6059655168. Its totient is φ = 559872000.

The previous prime is 2112112201. The next prime is 2112112213. The reversal of 2112112212 is 2122112112.

It is a super-2 number, since 2×2112112212² = 8922035992159065888, which contains 22 as substring.

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 = 2112112191 and 2112112200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112112213) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7793637 + ... + 7793907.

It is an arithmetic number, because the mean of its divisors is an integer number (31560704).

Almost surely, 2^2112112212 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 2112112212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3029827584).

2112112212 is an abundant number, since it is smaller than the sum of its proper divisors (3947542956).

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

2112112212 is a wasteful number, since it uses less digits than its factorization.

2112112212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 428 counting only the distinct ones).

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

The square root of 2112112212 is about 45957.7220062091. The cubic root of 2112112212 is about 1283.0364540607.

Adding to 2112112212 its reverse (2122112112), we get a palindrome (4234224324).

It can be divided in two parts, 2112112 and 212, that multiplied together give a palindrome (447767744).

The spelling of 2112112212 in words is "two billion, one hundred twelve million, one hundred twelve thousand, two hundred twelve".