2112131112 has 128 divisors (see below), whose sum is σ = 6513212160. Its totient is φ = 555816960.

The previous prime is 2112131111. The next prime is 2112131117. The reversal of 2112131112 is 2111312112.

It is a super-2 number, since 2×2112131112² = 8922195668556713088, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2112131091 and 2112131100.

It is not an unprimeable number, because it can be changed into a prime (2112131111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1425412 + ... + 1426892.

It is an arithmetic number, because the mean of its divisors is an integer number (50884470).

Almost surely, 2^2112131112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112131112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3256606080).

2112131112 is an abundant number, since it is smaller than the sum of its proper divisors (4401081048).

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

2112131112 is a wasteful number, since it uses less digits than its factorization.

2112131112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2163 (or 2159 counting only the distinct ones).

The product of its digits is 24, while the sum is 15.

The square root of 2112131112 is about 45957.9276295178. The cubic root of 2112131112 is about 1283.0402810854.

Adding to 2112131112 its reverse (2111312112), we get a palindrome (4223443224).

The spelling of 2112131112 in words is "two billion, one hundred twelve million, one hundred thirty-one thousand, one hundred twelve".