113221011200 has 216 divisors, whose sum is σ = 316263664080. Its totient is φ = 39750860800.

The previous prime is 113221011199. The next prime is 113221011223. The reversal of 113221011200 is 2110122311.

It is a super-3 number, since 3×113221011200³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2013872 + ... + 2069328.

It is an arithmetic number, because the mean of its divisors is an integer number (1464183630).

Almost surely, 2^113221011200 is an apocalyptic number.

113221011200 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 113221011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158131832040).

113221011200 is an abundant number, since it is smaller than the sum of its proper divisors (203042652880).

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

113221011200 is a wasteful number, since it uses less digits than its factorization.

113221011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55523 (or 55504 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 113221011200 its reverse (2110122311), we get a palindrome (115331133511).

Subtracting from 113221011200 its reverse (2110122311), we obtain a square (111110888889 = 333333²).

The spelling of 113221011200 in words is "one hundred thirteen billion, two hundred twenty-one million, eleven thousand, two hundred".