112130113200 has 240 divisors, whose sum is σ = 421598849280. Its totient is φ = 24936975360.

The previous prime is 112130113171. The next prime is 112130113201. The reversal of 112130113200 is 2311031211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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 112130113200.

It is not an unprimeable number, because it can be changed into a prime (112130113201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130411 + ... + 491189.

It is an arithmetic number, because the mean of its divisors is an integer number (1756661872).

Almost surely, 2^112130113200 is an apocalyptic number.

112130113200 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 112130113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210799424640).

112130113200 is an abundant number, since it is smaller than the sum of its proper divisors (309468736080).

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

112130113200 is a wasteful number, since it uses less digits than its factorization.

112130113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360844 (or 360833 counting only the distinct ones).

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

Adding to 112130113200 its reverse (2311031211), we get a palindrome (114441144411).

The spelling of 112130113200 in words is "one hundred twelve billion, one hundred thirty million, one hundred thirteen thousand, two hundred".