11130223200 has 288 divisors, whose sum is σ = 38360044800. Its totient is φ = 2798315520.

The previous prime is 11130223163. The next prime is 11130223241. The reversal of 11130223200 is 232203111.

11130223200 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 11130223200.

It is a congruent number.

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, 2990941 + ... + 2994659.

It is an arithmetic number, because the mean of its divisors is an integer number (133194600).

Almost surely, 2^11130223200 is an apocalyptic number.

11130223200 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 11130223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19180022400).

11130223200 is an abundant number, since it is smaller than the sum of its proper divisors (27229821600).

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

11130223200 is a wasteful number, since it uses less digits than its factorization.

11130223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3814 (or 3801 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 11130223200 its reverse (232203111), we get a palindrome (11362426311).

The spelling of 11130223200 in words is "eleven billion, one hundred thirty million, two hundred twenty-three thousand, two hundred".