112130101200 has 480 divisors, whose sum is σ = 398386501632. Its totient is φ = 26788608000.

The previous prime is 112130101189. The next prime is 112130101247. The reversal of 112130101200 is 2101031211.

112130101200 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 (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74208445 + ... + 74209955.

Almost surely, 2^112130101200 is an apocalyptic number.

112130101200 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 112130101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199193250816).

112130101200 is an abundant number, since it is smaller than the sum of its proper divisors (286256400432).

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

112130101200 is a wasteful number, since it uses less digits than its factorization.

112130101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1683 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 112130101200 its reverse (2101031211), we get a palindrome (114231132411).

The spelling of 112130101200 in words is "one hundred twelve billion, one hundred thirty million, one hundred one thousand, two hundred".