211323112 has 96 divisors (see below), whose sum is σ = 536256000. Its totient is φ = 75968640.

The previous prime is 211323109. The next prime is 211323121.

211323112 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86889 + ... + 89287.

It is an arithmetic number, because the mean of its divisors is an integer number (5586000).

Almost surely, 2^211323112 is an apocalyptic number.

211323112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211323112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268128000).

211323112 is an abundant number, since it is smaller than the sum of its proper divisors (324932888).

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

211323112 is a wasteful number, since it uses less digits than its factorization.

211323112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2447 (or 2432 counting only the distinct ones).

The product of its digits is 72, while the sum is 16.

The square root of 211323112 is about 14536.9567654307. The cubic root of 211323112 is about 595.6379119811.

It can be divided in two parts, 211 and 323112, that added together give a palindrome (323323).

The spelling of 211323112 in words is "two hundred eleven million, three hundred twenty-three thousand, one hundred twelve".