112133320200 has 288 divisors, whose sum is σ = 411175870560. Its totient is φ = 27160012800.

The previous prime is 112133320141. The next prime is 112133320207. The reversal of 112133320200 is 2023331211.

112133320200 is a `hidden beast` number, since 1 + 12 + 133 + 320 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (112133320207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35183007 + ... + 35186193.

It is an arithmetic number, because the mean of its divisors is an integer number (1427693995).

Almost surely, 2^112133320200 is an apocalyptic number.

112133320200 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 112133320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205587935280).

112133320200 is an abundant number, since it is smaller than the sum of its proper divisors (299042550360).

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

112133320200 is a wasteful number, since it uses less digits than its factorization.

112133320200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4997 (or 4985 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 112133320200 its reverse (2023331211), we get a palindrome (114156651411).

The spelling of 112133320200 in words is "one hundred twelve billion, one hundred thirty-three million, three hundred twenty thousand, two hundred".