211112 has 16 divisors (see below), whose sum is σ = 432000. Its totient is φ = 95920.

The previous prime is 211097. The next prime is 211129.

211112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 211112.

It is an unprimeable number.

211112 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1112 + ... + 1287.

It is an arithmetic number, because the mean of its divisors is an integer number (27000).

2²¹¹¹¹² is an apocalyptic number.

211112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211112 is an abundant number, since it is smaller than the sum of its proper divisors (220888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211112 is a wasteful number, since it uses less digits than its factorization.

211112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2416 (or 2412 counting only the distinct ones).

The product of its digits is 4, while the sum is 8.

The square root of 211112 is about 459.4692590370. The cubic root of 211112 is about 59.5439498272.

It can be divided in two parts, 211 and 112, that multiplied together give a palindrome (23632).

The spelling of 211112 in words is "two hundred eleven thousand, one hundred twelve", and thus it is an iban number.