112112121211211 has 48 divisors (see below), whose sum is σ = 131626630679040. Its totient is φ = 95084704915200.

The previous prime is 112112121211199. The next prime is 112112121211219.

112112121211211 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-112112121211211 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112112121211219) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122868776 + ... + 123777866.

It is an arithmetic number, because the mean of its divisors is an integer number (2742221472480).

Almost surely, 2^{112112121211211} is an apocalyptic number.

112112121211211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112112121211211 is a deficient number, since it is larger than the sum of its proper divisors (19514509467829).

112112121211211 is a wasteful number, since it uses less digits than its factorization.

112112121211211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909656 (or 909645 counting only the distinct ones).

The product of its digits is 32, while the sum is 20.

The spelling of 112112121211211 in words is "one hundred twelve trillion, one hundred twelve billion, one hundred twenty-one million, two hundred eleven thousand, two hundred eleven".