2112112116 has 36 divisors (see below), whose sum is σ = 5439689892. Its totient is φ = 690753024.

The previous prime is 2112112097. The next prime is 2112112117. The reversal of 2112112116 is 6112112112.

It can be written as a sum of positive squares in 2 ways, for example, as 1455727716 + 656384400 = 38154^2 + 25620^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2112112116² = 8922035181107994912, 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112112117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 551581 + ... + 555396.

It is an arithmetic number, because the mean of its divisors is an integer number (151102497).

Almost surely, 2^2112112116 is an apocalyptic number.

It is an amenable number.

2112112116 is an abundant number, since it is smaller than the sum of its proper divisors (3327577776).

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

2112112116 is a wasteful number, since it uses less digits than its factorization.

2112112116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107040 (or 1107035 counting only the distinct ones).

The product of its digits is 48, while the sum is 18.

The square root of 2112112116 is about 45957.7209617709. The cubic root of 2112112116 is about 1283.0364346218.

Adding to 2112112116 its reverse (6112112112), we get a palindrome (8224224228).

The spelling of 2112112116 in words is "two billion, one hundred twelve million, one hundred twelve thousand, one hundred sixteen".