11412224000 has 96 divisors (see below), whose sum is σ = 28478595600. Its totient is φ = 4564787200.

The previous prime is 11412223957. The next prime is 11412224003. The reversal of 11412224000 is 42221411.

It is a self number, because there is not a number n which added to its sum of digits gives 11412224000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11412224003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 233711 + ... + 278289.

Almost surely, 2^11412224000 is an apocalyptic number.

11412224000 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 11412224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14239297800).

11412224000 is an abundant number, since it is smaller than the sum of its proper divisors (17066371600).

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

11412224000 is an frugal number, since it uses more digits than its factorization.

11412224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44616 (or 44586 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 11412224000 its reverse (42221411), we get a palindrome (11454445411).

The spelling of 11412224000 in words is "eleven billion, four hundred twelve million, two hundred twenty-four thousand".