2123112112 has 80 divisors (see below), whose sum is σ = 4589706240. Its totient is φ = 943328000.

The previous prime is 2123112091. The next prime is 2123112151. The reversal of 2123112112 is 2112113212.

It is a super-2 number, since 2×2123112112² = 9015210080242201088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 1474689 + ... + 1476127.

It is an arithmetic number, because the mean of its divisors is an integer number (57371328).

Almost surely, 2^2123112112 is an apocalyptic number.

2123112112 is a gapful number since it is divisible by the number (22) 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 2123112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2294853120).

2123112112 is an abundant number, since it is smaller than the sum of its proper divisors (2466594128).

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

2123112112 is a wasteful number, since it uses less digits than its factorization.

2123112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642 (or 1636 counting only the distinct ones).

The product of its digits is 48, while the sum is 16.

The square root of 2123112112 is about 46077.2407159977. The cubic root of 2123112112 is about 1285.2599537671.

Adding to 2123112112 its reverse (2112113212), we get a palindrome (4235225324).

The spelling of 2123112112 in words is "two billion, one hundred twenty-three million, one hundred twelve thousand, one hundred twelve".