211211111112 has 64 divisors (see below), whose sum is σ = 538550052480. Its totient is φ = 69003497472.

The previous prime is 211211111099. The next prime is 211211111113. The reversal of 211211111112 is 211111112112.

It is a super-2 number, since 2×211211111112² (a number of 23 digits) contains 22 as substring.

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 a junction number, because it is equal to n+sod(n) for n = 211211111091 and 211211111100.

It is not an unprimeable number, because it can be changed into a prime (211211111113) 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 15 ways as a sum of consecutive naturals, for example, 1144168 + ... + 1315880.

It is an arithmetic number, because the mean of its divisors is an integer number (8414844570).

Almost surely, 2^211211111112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211211111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269275026240).

211211111112 is an abundant number, since it is smaller than the sum of its proper divisors (327338941368).

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

211211111112 is a wasteful number, since it uses less digits than its factorization.

211211111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172742 (or 172738 counting only the distinct ones).

The product of its digits is 8, while the sum is 15.

Adding to 211211111112 its reverse (211111112112), we get a palindrome (422322223224).

The spelling of 211211111112 in words is "two hundred eleven billion, two hundred eleven million, one hundred eleven thousand, one hundred twelve".