11224143200 has 72 divisors (see below), whose sum is σ = 27456398928. Its totient is φ = 4480570880.

The previous prime is 11224143193. The next prime is 11224143253. The reversal of 11224143200 is 234142211.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 388454 + ... + 416346.

It is an arithmetic number, because the mean of its divisors is an integer number (381338874).

Almost surely, 2^11224143200 is an apocalyptic number.

11224143200 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 11224143200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13728199464).

11224143200 is an abundant number, since it is smaller than the sum of its proper divisors (16232255728).

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

11224143200 is a wasteful number, since it uses less digits than its factorization.

11224143200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28416 (or 28403 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 11224143200 its reverse (234142211), we get a palindrome (11458285411).

The spelling of 11224143200 in words is "eleven billion, two hundred twenty-four million, one hundred forty-three thousand, two hundred".