11322203200200 has 288 divisors, whose sum is σ = 38138507807400. Its totient is φ = 3010154618880.

The previous prime is 11322203200193. The next prime is 11322203200223. The reversal of 11322203200200 is 200230222311.

11322203200200 is a `hidden beast` number, since 1 + 1 + 322 + 2 + 0 + 320 + 0 + 20 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 26675382276 + 11295527817924 = 163326^2 + 3360882^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 850711146 + ... + 850724454.

Almost surely, 2^{11322203200200} is an apocalyptic number.

11322203200200 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 11322203200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19069253903700).

11322203200200 is an abundant number, since it is smaller than the sum of its proper divisors (26816304607200).

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

11322203200200 is a wasteful number, since it uses less digits than its factorization.

11322203200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14721 (or 14709 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 11322203200200 its reverse (200230222311), we get a palindrome (11522433422511).

The spelling of 11322203200200 in words is "eleven trillion, three hundred twenty-two billion, two hundred three million, two hundred thousand, two hundred".