2112211222112 has 72 divisors (see below), whose sum is σ = 4308210925200. Its totient is φ = 1019343277568.

The previous prime is 2112211222109. The next prime is 2112211222181. The reversal of 2112211222112 is 2112221122112.

It is a super-2 number, since 2×2112211222112² (a number of 25 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91193189 + ... + 91216347.

It is an arithmetic number, because the mean of its divisors is an integer number (59836262850).

Almost surely, 2^{2112211222112} 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 2112211222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2154105462600).

2112211222112 is an abundant number, since it is smaller than the sum of its proper divisors (2195999703088).

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

2112211222112 is a wasteful number, since it uses less digits than its factorization.

2112211222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26616 (or 26579 counting only the distinct ones).

The product of its digits is 128, while the sum is 20.

Adding to 2112211222112 its reverse (2112221122112), we get a palindrome (4224432344224).

The spelling of 2112211222112 in words is "two trillion, one hundred twelve billion, two hundred eleven million, two hundred twenty-two thousand, one hundred twelve".