112211121112211 has 12 divisors (see below), whose sum is σ = 123339964482000. Its totient is φ = 102009723264240.

The previous prime is 112211121112169. The next prime is 112211121112219.

112211121112211 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-112211121112211 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112211121112219) 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 11 ways as a sum of consecutive naturals, for example, 33130250 + ... + 36359808.

It is an arithmetic number, because the mean of its divisors is an integer number (10278330373500).

Almost surely, 2^{112211121112211} is an apocalyptic number.

112211121112211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112211121112211 is a deficient number, since it is larger than the sum of its proper divisors (11128843369789).

112211121112211 is a wasteful number, since it uses less digits than its factorization.

112211121112211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3516730 (or 3516719 counting only the distinct ones).

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

The spelling of 112211121112211 in words is "one hundred twelve trillion, two hundred eleven billion, one hundred twenty-one million, one hundred twelve thousand, two hundred eleven".