11226033200 has 120 divisors (see below), whose sum is σ = 28269360288. Its totient is φ = 4275927040.

The previous prime is 11226033187. The next prime is 11226033209. The reversal of 11226033200 is 233062211.

It is a happy number.

11226033200 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 (20).

It is not an unprimeable number, because it can be changed into a prime (11226033209) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2140982 + ... + 2146218.

Almost surely, 2^11226033200 is an apocalyptic number.

11226033200 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 11226033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14134680144).

11226033200 is an abundant number, since it is smaller than the sum of its proper divisors (17043327088).

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

11226033200 is a wasteful number, since it uses less digits than its factorization.

11226033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5511 (or 5500 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 11226033200 its reverse (233062211), we get a palindrome (11459095411).

The spelling of 11226033200 in words is "eleven billion, two hundred twenty-six million, thirty-three thousand, two hundred".