112223102202200 has 384 divisors, whose sum is σ = 292949730017280. Its totient is φ = 39626496000000.

The previous prime is 112223102202161. The next prime is 112223102202203. The reversal of 112223102202200 is 2202201322211.

112223102202200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112223102202203) 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, 35957416640 + ... + 35957419760.

It is an arithmetic number, because the mean of its divisors is an integer number (762889921920).

Almost surely, 2^{112223102202200} is an apocalyptic number.

112223102202200 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 112223102202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146474865008640).

112223102202200 is an abundant number, since it is smaller than the sum of its proper divisors (180726627815080).

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

112223102202200 is a wasteful number, since it uses less digits than its factorization.

112223102202200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4931 (or 4922 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 112223102202200 its reverse (2202201322211), we get a palindrome (114425303524411).

The spelling of 112223102202200 in words is "one hundred twelve trillion, two hundred twenty-three billion, one hundred two million, two hundred two thousand, two hundred".