11230111200 has 576 divisors, whose sum is σ = 46305036288. Its totient is φ = 2296166400.

The previous prime is 11230111183. The next prime is 11230111237. The reversal of 11230111200 is 211103211.

It is a super-2 number, since 2×11230111200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12381147 + ... + 12382053.

It is an arithmetic number, because the mean of its divisors is an integer number (80390688).

Almost surely, 2^11230111200 is an apocalyptic number.

11230111200 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 11230111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23152518144).

11230111200 is an abundant number, since it is smaller than the sum of its proper divisors (35074925088).

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

11230111200 is a wasteful number, since it uses less digits than its factorization.

11230111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 11230111200 its reverse (211103211), we get a palindrome (11441214411).

It can be divided in two parts, 1123011 and 1200, that added together give a palindrome (1124211).

The spelling of 11230111200 in words is "eleven billion, two hundred thirty million, one hundred eleven thousand, two hundred".