11221132200 has 192 divisors, whose sum is σ = 36912101760. Its totient is φ = 2810142720.

The previous prime is 11221132189. The next prime is 11221132229. The reversal of 11221132200 is 223112211.

11221132200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11221132200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6292509 + ... + 6294291.

It is an arithmetic number, because the mean of its divisors is an integer number (192250530).

Almost surely, 2^11221132200 is an apocalyptic number.

11221132200 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 11221132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18456050880).

11221132200 is an abundant number, since it is smaller than the sum of its proper divisors (25690969560).

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

11221132200 is a wasteful number, since it uses less digits than its factorization.

11221132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2436 (or 2427 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 11221132200 its reverse (223112211), we get a palindrome (11444244411).

The spelling of 11221132200 in words is "eleven billion, two hundred twenty-one million, one hundred thirty-two thousand, two hundred".