2112221022120 has 192 divisors, whose sum is σ = 7882930411200. Its totient is φ = 485103375360.

The previous prime is 2112221022091. The next prime is 2112221022133. The reversal of 2112221022120 is 212201222112.

It is a happy number.

2112221022120 is a `hidden beast` number, since 211 + 2 + 2 + 210 + 221 + 20 = 666.

It is a super-2 number, since 2×2112221022120² (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 = 2112221022093 and 2112221022102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13961317 + ... + 14111796.

It is an arithmetic number, because the mean of its divisors is an integer number (41056929225).

Almost surely, 2^{2112221022120} is an apocalyptic number.

2112221022120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112221022120 is an abundant number, since it is smaller than the sum of its proper divisors (5770709389080).

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

2112221022120 is a wasteful number, since it uses less digits than its factorization.

2112221022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28073160 (or 28073153 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2112221022120 its reverse (212201222112), we get a palindrome (2324422244232).

The spelling of 2112221022120 in words is "two trillion, one hundred twelve billion, two hundred twenty-one million, twenty-two thousand, one hundred twenty".