2112112120120 has 16 divisors (see below), whose sum is σ = 4752252270360. Its totient is φ = 844844848032.

The previous prime is 2112112120051. The next prime is 2112112120189. The reversal of 2112112120120 is 210212112112.

It is an interprime number because it is at equal distance from previous prime (2112112120051) and next prime (2112112120189).

It is a super-2 number, since 2×2112112120120² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2112112120094 and 2112112120103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26401401462 + ... + 26401401541.

Almost surely, 2^{2112112120120} is an apocalyptic number.

2112112120120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112112120120 is an abundant number, since it is smaller than the sum of its proper divisors (2640140150240).

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

2112112120120 is a wasteful number, since it uses less digits than its factorization.

2112112120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52802803014 (or 52802803010 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2112112120120 its reverse (210212112112), we get a palindrome (2322324232232).

The spelling of 2112112120120 in words is "two trillion, one hundred twelve billion, one hundred twelve million, one hundred twenty thousand, one hundred twenty".