2112411312 has 200 divisors, whose sum is σ = 6766924032. Its totient is φ = 630806400.

The previous prime is 2112411311. The next prime is 2112411341. The reversal of 2112411312 is 2131142112.

It is a super-2 number, since 2×2112411312² = 8924563102131122688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2112411311) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1011133 + ... + 1013219.

Almost surely, 2^2112411312 is an apocalyptic number.

2112411312 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 2112411312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3383462016).

2112411312 is an abundant number, since it is smaller than the sum of its proper divisors (4654512720).

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

2112411312 is a wasteful number, since it uses less digits than its factorization.

2112411312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2189 (or 2174 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 2112411312 is about 45960.9759687498. The cubic root of 2112411312 is about 1283.0970155668.

Adding to 2112411312 its reverse (2131142112), we get a palindrome (4243553424).

The spelling of 2112411312 in words is "two billion, one hundred twelve million, four hundred eleven thousand, three hundred twelve".