211111112122112 has 72 divisors (see below), whose sum is σ = 426481133459472. Its totient is φ = 104286654464000.

The previous prime is 211111112122111. The next prime is 211111112122123. The reversal of 211111112122112 is 211221211111112.

It is a super-2 number, since 2×211111112122112² (a number of 29 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (211111112122111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3332912 + ... + 20816592.

It is an arithmetic number, because the mean of its divisors is an integer number (5923349075826).

Almost surely, 2^{211111112122112} 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 211111112122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213240566729736).

211111112122112 is an abundant number, since it is smaller than the sum of its proper divisors (215370021337360).

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

211111112122112 is a wasteful number, since it uses less digits than its factorization.

211111112122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17484265 (or 17484251 counting only the distinct ones).

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

Adding to 211111112122112 its reverse (211221211111112), we get a palindrome (422332323233224).

The spelling of 211111112122112 in words is "two hundred eleven trillion, one hundred eleven billion, one hundred twelve million, one hundred twenty-two thousand, one hundred twelve".