212112111112 has 128 divisors (see below), whose sum is σ = 461852409600. Its totient is φ = 90423424000.

The previous prime is 212112111089. The next prime is 212112111131. The reversal of 212112111112 is 211111211212.

212112111112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13653093 + ... + 13668619.

It is an arithmetic number, because the mean of its divisors is an integer number (3608221950).

Almost surely, 2^212112111112 is an apocalyptic number.

212112111112 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 212112111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230926204800).

212112111112 is an abundant number, since it is smaller than the sum of its proper divisors (249740298488).

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

212112111112 is a wasteful number, since it uses less digits than its factorization.

212112111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15727 (or 15723 counting only the distinct ones).

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

Adding to 212112111112 its reverse (211111211212), we get a palindrome (423223322324).

The spelling of 212112111112 in words is "two hundred twelve billion, one hundred twelve million, one hundred eleven thousand, one hundred twelve".