112112111111 has 16 divisors (see below), whose sum is σ = 150528150528. Its totient is φ = 80640079200.

The previous prime is 112112111081. The next prime is 112112111123. The reversal of 112112111111 is 111111211211.

It is a cyclic number.

It is not a de Polignac number, because 112112111111 - 2³⁴ = 94932241927 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112112111131) 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, 55999055 + ... + 56001056.

It is an arithmetic number, because the mean of its divisors is an integer number (9408009408).

Almost surely, 2^112112111111 is an apocalyptic number.

112112111111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112112111111 is a deficient number, since it is larger than the sum of its proper divisors (38416039417).

112112111111 is a wasteful number, since it uses less digits than its factorization.

112112111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112000142.

The product of its digits is 4, while the sum is 14.

Adding to 112112111111 its reverse (111111211211), we get a palindrome (223223322322).

It can be divided in two parts, 11211211 and 1111, that multiplied together give a palindrome (12455655421).

The spelling of 112112111111 in words is "one hundred twelve billion, one hundred twelve million, one hundred eleven thousand, one hundred eleven".