112301311200 has 864 divisors, whose sum is σ = 416664331776. Its totient is φ = 26233159680.

The previous prime is 112301311189. The next prime is 112301311207. The reversal of 112301311200 is 2113103211.

It is a happy number.

112301311200 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 2×112301311200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 112301311200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112301311207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 819717532 + ... + 819717668.

It is an arithmetic number, because the mean of its divisors is an integer number (482250384).

Almost surely, 2^112301311200 is an apocalyptic number.

112301311200 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 112301311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208332165888).

112301311200 is an abundant number, since it is smaller than the sum of its proper divisors (304363020576).

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

112301311200 is a wasteful number, since it uses less digits than its factorization.

112301311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 112301311200 its reverse (2113103211), we get a palindrome (114414414411).

The spelling of 112301311200 in words is "one hundred twelve billion, three hundred one million, three hundred eleven thousand, two hundred".