11321133200 has 120 divisors (see below), whose sum is σ = 30006240936. Its totient is φ = 4078080000.

The previous prime is 11321133199. The next prime is 11321133269. The reversal of 11321133200 is 233112311.

It can be written as a sum of positive squares in 12 ways, for example, as 6004390144 + 5316743056 = 77488^2 + 72916^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 186650 + ... + 239750.

Almost surely, 2^11321133200 is an apocalyptic number.

11321133200 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 11321133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15003120468).

11321133200 is an abundant number, since it is smaller than the sum of its proper divisors (18685107736).

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

11321133200 is a wasteful number, since it uses less digits than its factorization.

11321133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53173 (or 53162 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 11321133200 its reverse (233112311), we get a palindrome (11554245511).

The spelling of 11321133200 in words is "eleven billion, three hundred twenty-one million, one hundred thirty-three thousand, two hundred".