2112012022120 has 512 divisors, whose sum is σ = 6782894899200. Its totient is φ = 569949696000.

The previous prime is 2112012022097. The next prime is 2112012022181. The reversal of 2112012022120 is 212202102112.

It is a happy number.

It is a super-2 number, since 2×2112012022120² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2112012022094 and 2112012022103.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 76823017 + ... + 76850503.

It is an arithmetic number, because the mean of its divisors is an integer number (13247841600).

Almost surely, 2^{2112012022120} is an apocalyptic number.

2112012022120 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 2112012022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3391447449600).

2112012022120 is an abundant number, since it is smaller than the sum of its proper divisors (4670882877080).

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

2112012022120 is a wasteful number, since it uses less digits than its factorization.

2112012022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27649 (or 27645 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2112012022120 its reverse (212202102112), we get a palindrome (2324214124232).

The spelling of 2112012022120 in words is "two trillion, one hundred twelve billion, twelve million, twenty-two thousand, one hundred twenty".