112213312211 has 64 divisors (see below), whose sum is σ = 157740549120. Its totient is φ = 76989104640.

The previous prime is 112213312187. The next prime is 112213312213.

112213312211 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-112213312211 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112213312213) 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 63 ways as a sum of consecutive naturals, for example, 2386121 + ... + 2432693.

It is an arithmetic number, because the mean of its divisors is an integer number (2464696080).

Almost surely, 2^112213312211 is an apocalyptic number.

112213312211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112213312211 is a deficient number, since it is larger than the sum of its proper divisors (45527236909).

112213312211 is a wasteful number, since it uses less digits than its factorization.

112213312211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46716.

The product of its digits is 144, while the sum is 20.

It can be divided in two parts, 112213 and 312211, that added together give a palindrome (424424).

The spelling of 112213312211 in words is "one hundred twelve billion, two hundred thirteen million, three hundred twelve thousand, two hundred eleven".