9867112200 has 288 divisors, whose sum is σ = 37490412960. Its totient is φ = 2391897600.

The previous prime is 9867112187. The next prime is 9867112223. The reversal of 9867112200 is 22117689.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 525372 + ... + 543828.

It is an arithmetic number, because the mean of its divisors is an integer number (130175045).

Almost surely, 2^9867112200 is an apocalyptic number.

9867112200 is a gapful number since it is divisible by the number (90) 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 9867112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18745206480).

9867112200 is an abundant number, since it is smaller than the sum of its proper divisors (27623300760).

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

9867112200 is a wasteful number, since it uses less digits than its factorization.

9867112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18499 (or 18478 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 9867112200 is about 99333.3388143175. The cubic root of 9867112200 is about 2144.8488328111.

Adding to 9867112200 its reverse (22117689), we get a palindrome (9889229889).

The spelling of 9867112200 in words is "nine billion, eight hundred sixty-seven million, one hundred twelve thousand, two hundred".