2112112122012 has 72 divisors (see below), whose sum is σ = 5346159116480. Its totient is φ = 703087257600.

The previous prime is 2112112121971. The next prime is 2112112122013. The reversal of 2112112122012 is 2102212112112.

2112112122012 is a `hidden beast` number, since 211 + 211 + 21 + 220 + 1 + 2 = 666.

It is a super-2 number, since 2×2112112122012² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112112122013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120332637 + ... + 120350187.

Almost surely, 2^{2112112122012} is an apocalyptic number.

It is an amenable number.

2112112122012 is an abundant number, since it is smaller than the sum of its proper divisors (3234046994468).

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

2112112122012 is a wasteful number, since it uses less digits than its factorization.

2112112122012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21883 (or 21878 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 2112112122012 its reverse (2102212112112), we get a palindrome (4214324234124).

The spelling of 2112112122012 in words is "two trillion, one hundred twelve billion, one hundred twelve million, one hundred twenty-two thousand, twelve".