1111112211200 has 108 divisors (see below), whose sum is σ = 2753514935640. Its totient is φ = 443905351680.

The previous prime is 1111112211193. The next prime is 1111112211217. The reversal of 1111112211200 is 21122111111.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5187836 + ... + 5397764.

Almost surely, 2^{1111112211200} is an apocalyptic number.

1111112211200 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 1111112211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376757467820).

1111112211200 is an abundant number, since it is smaller than the sum of its proper divisors (1642402724440).

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

1111112211200 is an equidigital number, since it uses as much as digits as its factorization.

1111112211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210782 (or 210763 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 1111112211200 its reverse (21122111111), we get a palindrome (1132234322311).

The spelling of 1111112211200 in words is "one trillion, one hundred eleven billion, one hundred twelve million, two hundred eleven thousand, two hundred".