2112120312120 has 384 divisors, whose sum is σ = 8676823559040. Its totient is φ = 433589760000.

The previous prime is 2112120312119. The next prime is 2112120312139. The reversal of 2112120312120 is 212130212112.

2112120312120 is a `hidden beast` number, since 2 + 112 + 120 + 312 + 120 = 666.

It is a super-2 number, since 2×2112120312120² (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 = 2112120312093 and 2112120312102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 340870 + ... + 2083370.

It is an arithmetic number, because the mean of its divisors is an integer number (22595894685).

Almost surely, 2^{2112120312120} is an apocalyptic number.

2112120312120 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 2112120312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4338411779520).

2112120312120 is an abundant number, since it is smaller than the sum of its proper divisors (6564703246920).

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

2112120312120 is a wasteful number, since it uses less digits than its factorization.

2112120312120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1742575 (or 1742568 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2112120312120 its reverse (212130212112), we get a palindrome (2324250524232).

The spelling of 2112120312120 in words is "two trillion, one hundred twelve billion, one hundred twenty million, three hundred twelve thousand, one hundred twenty".