112309012200 has 768 divisors, whose sum is σ = 448351303680. Its totient is φ = 22579200000.

The previous prime is 112309012163. The next prime is 112309012201. The reversal of 112309012200 is 2210903211.

112309012200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112309012200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (112309012201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 399676060 + ... + 399676340.

It is an arithmetic number, because the mean of its divisors is an integer number (583790760).

Almost surely, 2^112309012200 is an apocalyptic number.

112309012200 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 112309012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224175651840).

112309012200 is an abundant number, since it is smaller than the sum of its proper divisors (336042291480).

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

112309012200 is a wasteful number, since it uses less digits than its factorization.

112309012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 112309012200 its reverse (2210903211), we get a palindrome (114519915411).

The spelling of 112309012200 in words is "one hundred twelve billion, three hundred nine million, twelve thousand, two hundred".