111111111122112 has 112 divisors (see below), whose sum is σ = 331246740096000. Its totient is φ = 36515388591360.

The previous prime is 111111111122093. The next prime is 111111111122161. The reversal of 111111111122112 is 211221111111111.

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 insolite number, because it is divisible by the sum (24) and by the product (64) of the squares 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 15 ways as a sum of consecutive naturals, for example, 452697112 + ... + 452942487.

Almost surely, 2^{111111111122112} is an apocalyptic number.

111111111122112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

111111111122112 is an abundant number, since it is smaller than the sum of its proper divisors (220135628973888).

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

111111111122112 is an equidigital number, since it uses as much as digits as its factorization.

111111111122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905639691 (or 905639675 counting only the distinct ones).

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

Adding to 111111111122112 its reverse (211221111111111), we get a palindrome (322332222233223).

The spelling of 111111111122112 in words is "one hundred eleven trillion, one hundred eleven billion, one hundred eleven million, one hundred twenty-two thousand, one hundred twelve".