112220221333200 has 480 divisors, whose sum is σ = 367049721600000. Its totient is φ = 29302321950720.

The previous prime is 112220221333189. The next prime is 112220221333277. The reversal of 112220221333200 is 2333122022211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 6431318076 + ... + 6431335524.

It is an arithmetic number, because the mean of its divisors is an integer number (764686920000).

Almost surely, 2^{112220221333200} is an apocalyptic number.

112220221333200 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 112220221333200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183524860800000).

112220221333200 is an abundant number, since it is smaller than the sum of its proper divisors (254829500266800).

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

112220221333200 is a wasteful number, since it uses less digits than its factorization.

112220221333200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18107 (or 18096 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 112220221333200 its reverse (2333122022211), we get a palindrome (114553343355411).

The spelling of 112220221333200 in words is "one hundred twelve trillion, two hundred twenty billion, two hundred twenty-one million, three hundred thirty-three thousand, two hundred".