112212333202200 has 1536 divisors, whose sum is σ = 461915749785600. Its totient is φ = 21829976064000.

The previous prime is 112212333202199. The next prime is 112212333202223. The reversal of 112212333202200 is 2202333212211.

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 (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 29552890702 + ... + 29552894498.

It is an arithmetic number, because the mean of its divisors is an integer number (300726399600).

Almost surely, 2^{112212333202200} is an apocalyptic number.

112212333202200 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 112212333202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230957874892800).

112212333202200 is an abundant number, since it is smaller than the sum of its proper divisors (349703416583400).

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

112212333202200 is a wasteful number, since it uses less digits than its factorization.

112212333202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4241 (or 4232 counting only the distinct ones).

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

Adding to 112212333202200 its reverse (2202333212211), we get a palindrome (114414666414411).

The spelling of 112212333202200 in words is "one hundred twelve trillion, two hundred twelve billion, three hundred thirty-three million, two hundred two thousand, two hundred".