2122112112112 has 40 divisors (see below), whose sum is σ = 4277133277200. Its totient is φ = 1018744591872.

The previous prime is 2122112112103. The next prime is 2122112112137. The reversal of 2122112112112 is 2112112112212.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2122112112112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12692133 + ... + 12858244.

It is an arithmetic number, because the mean of its divisors is an integer number (106928331930).

Almost surely, 2^{2122112112112} is an apocalyptic number.

It is an amenable number.

2122112112112 is an abundant number, since it is smaller than the sum of its proper divisors (2155021165088).

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

2122112112112 is a wasteful number, since it uses less digits than its factorization.

2122112112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25550593 (or 25550587 counting only the distinct ones).

The product of its digits is 64, while the sum is 19.

Adding to 2122112112112 its reverse (2112112112212), we get a palindrome (4234224224324).

It can be divided in two parts, 212 and 2112112112, that multiplied together give a palindrome (447767767744).

The spelling of 2122112112112 in words is "two trillion, one hundred twenty-two billion, one hundred twelve million, one hundred twelve thousand, one hundred twelve".