112001012200 has 288 divisors, whose sum is σ = 330068249280. Its totient is φ = 34594560000.

The previous prime is 112001012177. The next prime is 112001012203. The reversal of 112001012200 is 2210100211.

112001012200 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 (10).

It is not an unprimeable number, because it can be changed into a prime (112001012203) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 19139275 + ... + 19145125.

It is an arithmetic number, because the mean of its divisors is an integer number (1146070310).

Almost surely, 2^112001012200 is an apocalyptic number.

112001012200 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 112001012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165034124640).

112001012200 is an abundant number, since it is smaller than the sum of its proper divisors (218067237080).

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

112001012200 is a wasteful number, since it uses less digits than its factorization.

112001012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6009 (or 5989 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 112001012200 its reverse (2210100211), we get a palindrome (114211112411).

The spelling of 112001012200 in words is "one hundred twelve billion, one million, twelve thousand, two hundred".