112102221121200 has 480 divisors, whose sum is σ = 400827528967680. Its totient is φ = 29757350937600.

The previous prime is 112102221121193. The next prime is 112102221121201. The reversal of 112102221121200 is 2121122201211.

112102221121200 is a `hidden beast` number, since 1 + 1 + 210 + 22 + 211 + 21 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (112102221121201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2334320389 + ... + 2334368411.

It is an arithmetic number, because the mean of its divisors is an integer number (835057352016).

Almost surely, 2^{112102221121200} is an apocalyptic number.

112102221121200 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 112102221121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200413764483840).

112102221121200 is an abundant number, since it is smaller than the sum of its proper divisors (288725307846480).

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

112102221121200 is a wasteful number, since it uses less digits than its factorization.

112102221121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49034 (or 49017 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112102221121200 its reverse (2121122201211), we get a palindrome (114223343322411).

The spelling of 112102221121200 in words is "one hundred twelve trillion, one hundred two billion, two hundred twenty-one million, one hundred twenty-one thousand, two hundred".