2112112241 has 16 divisors (see below), whose sum is σ = 2231276544. Its totient is φ = 1995316224.

The previous prime is 2112112237. The next prime is 2112112259. The reversal of 2112112241 is 1422112112.

It is a cyclic number.

It is not a de Polignac number, because 2112112241 - 2² = 2112112237 is a prime.

It is a super-2 number, since 2×2112112241² = 8922036237164084162, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2112112201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1924805 + ... + 1925901.

It is an arithmetic number, because the mean of its divisors is an integer number (139454784).

Almost surely, 2^2112112241 is an apocalyptic number.

It is an amenable number.

2112112241 is a deficient number, since it is larger than the sum of its proper divisors (119164303).

2112112241 is a wasteful number, since it uses less digits than its factorization.

2112112241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080.

The product of its digits is 64, while the sum is 17.

The square root of 2112112241 is about 45957.7223217165. The cubic root of 2112112241 is about 1283.0364599329.

Adding to 2112112241 its reverse (1422112112), we get a palindrome (3534224353).

The spelling of 2112112241 in words is "two billion, one hundred twelve million, one hundred twelve thousand, two hundred forty-one".