111111112211112 has 192 divisors, whose sum is σ = 325615978396800. Its totient is φ = 34025667356160.

The previous prime is 111111112211101. The next prime is 111111112211123. The reversal of 111111112211112 is 211112211111111.

It is an interprime number because it is at equal distance from previous prime (111111112211101) and next prime (111111112211123).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 217217589 + ... + 217728507.

It is an arithmetic number, because the mean of its divisors is an integer number (1695916554150).

Almost surely, 2^{111111112211112} is an apocalyptic number.

111111112211112 is a gapful number since it is divisible by the number (12) 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 111111112211112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162807989198400).

111111112211112 is an abundant number, since it is smaller than the sum of its proper divisors (214504866185688).

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

111111112211112 is a wasteful number, since it uses less digits than its factorization.

111111112211112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512048 (or 512041 counting only the distinct ones).

The product of its digits is 8, while the sum is 18.

Adding to 111111112211112 its reverse (211112211111111), we get a palindrome (322223323322223).

The spelling of 111111112211112 in words is "one hundred eleven trillion, one hundred eleven billion, one hundred twelve million, two hundred eleven thousand, one hundred twelve".