11133112200 has 192 divisors, whose sum is σ = 39531279360. Its totient is φ = 2539019520.

The previous prime is 11133112189. The next prime is 11133112229. The reversal of 11133112200 is 221133111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 11133112200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2042679 + ... + 2048121.

It is an arithmetic number, because the mean of its divisors is an integer number (205892080).

Almost surely, 2^11133112200 is an apocalyptic number.

11133112200 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 11133112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19765639680).

11133112200 is an abundant number, since it is smaller than the sum of its proper divisors (28398167160).

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

11133112200 is a wasteful number, since it uses less digits than its factorization.

11133112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5956 (or 5947 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11133112200 its reverse (221133111), we get a palindrome (11354245311).

The spelling of 11133112200 in words is "eleven billion, one hundred thirty-three million, one hundred twelve thousand, two hundred".