2112112311 has 16 divisors (see below), whose sum is σ = 2946002400. Its totient is φ = 1344240128.

The previous prime is 2112112271. The next prime is 2112112337. The reversal of 2112112311 is 1132112112.

It is a cyclic number.

It is not a de Polignac number, because 2112112311 - 2¹⁹ = 2111588023 is a prime.

It is a super-2 number, since 2×2112112311² = 8922036828555521442, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112112361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128646 + ... + 144131.

It is an arithmetic number, because the mean of its divisors is an integer number (184125150).

Almost surely, 2^2112112311 is an apocalyptic number.

2112112311 is a deficient number, since it is larger than the sum of its proper divisors (833890089).

2112112311 is a wasteful number, since it uses less digits than its factorization.

2112112311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272898.

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

The square root of 2112112311 is about 45957.7230832860. The cubic root of 2112112311 is about 1283.0364741071.

Adding to 2112112311 its reverse (1132112112), we get a palindrome (3244224423).

The spelling of 2112112311 in words is "two billion, one hundred twelve million, one hundred twelve thousand, three hundred eleven".