2112212112120 has 192 divisors, whose sum is σ = 7491219746400. Its totient is φ = 511882690560.

The previous prime is 2112212112097. The next prime is 2112212112137. The reversal of 2112212112120 is 212112122112.

2112212112120 is a `hidden beast` number, since 21 + 1 + 221 + 211 + 212 + 0 = 666.

It is a super-2 number, since 2×2112212112120² (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 junction number, because it is equal to n+sod(n) for n = 2112212112093 and 2112212112102.

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 47 ways as a sum of consecutive naturals, for example, 12146104 + ... + 12318776.

Almost surely, 2^{2112212112120} is an apocalyptic number.

2112212112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112212112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3745609873200).

2112212112120 is an abundant number, since it is smaller than the sum of its proper divisors (5379007634280).

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

2112212112120 is a wasteful number, since it uses less digits than its factorization.

2112212112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175790 (or 175783 counting only the distinct ones).

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

Adding to 2112212112120 its reverse (212112122112), we get a palindrome (2324324234232).

The spelling of 2112212112120 in words is "two trillion, one hundred twelve billion, two hundred twelve million, one hundred twelve thousand, one hundred twenty".