2112122120 has 64 divisors (see below), whose sum is σ = 4880304000. Its totient is φ = 822371328.

The previous prime is 2112122119. The next prime is 2112122147. The reversal of 2112122120 is 212212112.

It is a super-2 number, since 2×2112122120² = 8922119699586588800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2112122095 and 2112122104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238736 + ... + 247424.

It is an arithmetic number, because the mean of its divisors is an integer number (76254750).

Almost surely, 2^2112122120 is an apocalyptic number.

2112122120 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 2112122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2440152000).

2112122120 is an abundant number, since it is smaller than the sum of its proper divisors (2768181880).

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

2112122120 is a wasteful number, since it uses less digits than its factorization.

2112122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8862 (or 8858 counting only the distinct ones).

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

The square root of 2112122120 is about 45957.8298008076. The cubic root of 2112122120 is about 1283.0384603154.

Adding to 2112122120 its reverse (212212112), we get a palindrome (2324334232).

The spelling of 2112122120 in words is "two billion, one hundred twelve million, one hundred twenty-two thousand, one hundred twenty".