2112220010120 has 96 divisors (see below), whose sum is σ = 5228945449560. Its totient is φ = 767325926400.

The previous prime is 2112220010077. The next prime is 2112220010177. The reversal of 2112220010120 is 210100222112.

It can be written as a sum of positive squares in 4 ways, for example, as 2099177913316 + 13042096804 = 1448854^2 + 114202^2 .

It is a super-2 number, since 2×2112220010120² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2112220010095 and 2112220010104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4727924 + ... + 5155356.

Almost surely, 2^{2112220010120} is an apocalyptic number.

2112220010120 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 2112220010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2614472724780).

2112220010120 is an abundant number, since it is smaller than the sum of its proper divisors (3116725439440).

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

2112220010120 is a wasteful number, since it uses less digits than its factorization.

2112220010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428487 (or 428472 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2112220010120 its reverse (210100222112), we get a palindrome (2322320232232).

The spelling of 2112220010120 in words is "two trillion, one hundred twelve billion, two hundred twenty million, ten thousand, one hundred twenty".