2222122112112 has 160 divisors (see below), whose sum is σ = 6691271016960. Its totient is φ = 622266577920.

The previous prime is 2222122112107. The next prime is 2222122112137. The reversal of 2222122112112 is 2112112212222.

It is a super-2 number, since 2×2222122112112² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

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, 17227314 + ... + 17355822.

It is an arithmetic number, because the mean of its divisors is an integer number (41820443856).

Almost surely, 2^{2222122112112} 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 2222122112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3345635508480).

2222122112112 is an abundant number, since it is smaller than the sum of its proper divisors (4469148904848).

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

2222122112112 is a wasteful number, since it uses less digits than its factorization.

2222122112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129551 (or 129545 counting only the distinct ones).

The product of its digits is 256, while the sum is 21.

Adding to 2222122112112 its reverse (2112112212222), we get a palindrome (4334234324334).

The spelling of 2222122112112 in words is "two trillion, two hundred twenty-two billion, one hundred twenty-two million, one hundred twelve thousand, one hundred twelve".