112122101200200 has 2304 divisors, whose sum is σ = 458495454412800. Its totient is φ = 22158920908800.

The previous prime is 112122101200171. The next prime is 112122101200201. The reversal of 112122101200200 is 2002101221211.

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 112122101200200.

It is not an unprimeable number, because it can be changed into a prime (112122101200201) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 92129909992 + ... + 92129911208.

It is an arithmetic number, because the mean of its divisors is an integer number (198999763200).

Almost surely, 2^{112122101200200} is an apocalyptic number.

112122101200200 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 112122101200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229247727206400).

112122101200200 is an abundant number, since it is smaller than the sum of its proper divisors (346373353212600).

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

112122101200200 is a wasteful number, since it uses less digits than its factorization.

112122101200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 112122101200200 its reverse (2002101221211), we get a palindrome (114124202421411).

The spelling of 112122101200200 in words is "one hundred twelve trillion, one hundred twenty-two billion, one hundred one million, two hundred thousand, two hundred".