111001222211200 has 192 divisors, whose sum is σ = 283472760879000. Its totient is φ = 42920135884800.

The previous prime is 111001222211129. The next prime is 111001222211203. The reversal of 111001222211200 is 2112222100111.

111001222211200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 16592326863424 + 94408895347776 = 4073368^2 + 9716424^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (111001222211203) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 10419856 + ... + 18181744.

Almost surely, 2^{111001222211200} is an apocalyptic number.

111001222211200 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 111001222211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141736380439500).

111001222211200 is an abundant number, since it is smaller than the sum of its proper divisors (172471538667800).

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

111001222211200 is a wasteful number, since it uses less digits than its factorization.

111001222211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7762063 (or 7762046 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 111001222211200 its reverse (2112222100111), we get a palindrome (113113444311311).

The spelling of 111001222211200 in words is "one hundred eleven trillion, one billion, two hundred twenty-two million, two hundred eleven thousand, two hundred".