9201112200 has 360 divisors, whose sum is σ = 36065255850. Its totient is φ = 2102123520.

The previous prime is 9201112189. The next prime is 9201112213. The reversal of 9201112200 is 22111029.

It can be written as a sum of positive squares in 3 ways, for example, as 5709011364 + 3492100836 = 75558^2 + 59094^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 4320736 + ... + 4322864.

Almost surely, 2^9201112200 is an apocalyptic number.

9201112200 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 9201112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18032627925).

9201112200 is an abundant number, since it is smaller than the sum of its proper divisors (26864143650).

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

9201112200 is a wasteful number, since it uses less digits than its factorization.

9201112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2179 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 9201112200 is about 95922.4280343237. The cubic root of 9201112200 is about 2095.4635406454.

Adding to 9201112200 its reverse (22111029), we get a palindrome (9223223229).

The spelling of 9201112200 in words is "nine billion, two hundred one million, one hundred twelve thousand, two hundred".