111112211200 has 216 divisors, whose sum is σ = 281807588160. Its totient is φ = 43354521600.

The previous prime is 111112211183. The next prime is 111112211209. The reversal of 111112211200 is 2112211111.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (111112211209) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 156716446 + ... + 156717154.

It is an arithmetic number, because the mean of its divisors is an integer number (1304664760).

Almost surely, 2^111112211200 is an apocalyptic number.

111112211200 is a gapful number since it is divisible by the number (10) 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 111112211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140903794080).

111112211200 is an abundant number, since it is smaller than the sum of its proper divisors (170695376960).

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

111112211200 is an equidigital number, since it uses as much as digits as its factorization.

111112211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 111112211200 its reverse (2112211111), we get a palindrome (113224422311).

The spelling of 111112211200 in words is "one hundred eleven billion, one hundred twelve million, two hundred eleven thousand, two hundred".