112011022011200 has 336 divisors, whose sum is σ = 300765724136640. Its totient is φ = 40811141038080.

The previous prime is 112011022011199. The next prime is 112011022011211. The reversal of 112011022011200 is 2110220110211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 533435831 + ... + 533645769.

It is an arithmetic number, because the mean of its divisors is an integer number (895136083740).

Almost surely, 2^{112011022011200} is an apocalyptic number.

112011022011200 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 112011022011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150382862068320).

112011022011200 is an abundant number, since it is smaller than the sum of its proper divisors (188754702125440).

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

112011022011200 is a wasteful number, since it uses less digits than its factorization.

112011022011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210314 (or 210299 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 112011022011200 its reverse (2110220110211), we get a palindrome (114121242121411).

The spelling of 112011022011200 in words is "one hundred twelve trillion, eleven billion, twenty-two million, eleven thousand, two hundred".