11412304000 has 128 divisors (see below), whose sum is σ = 30043606320. Its totient is φ = 4296294400.

The previous prime is 11412303997. The next prime is 11412304019. The reversal of 11412304000 is 40321411.

It can be written as a sum of positive squares in 8 ways, for example, as 1346596416 + 10065707584 = 36696^2 + 100328^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 251022 + ... + 292978.

Almost surely, 2^11412304000 is an apocalyptic number.

11412304000 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 11412304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15021803160).

11412304000 is an abundant number, since it is smaller than the sum of its proper divisors (18631302320).

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

11412304000 is an equidigital number, since it uses as much as digits as its factorization.

11412304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42003 (or 41981 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 11412304000 its reverse (40321411), we get a palindrome (11452625411).

The spelling of 11412304000 in words is "eleven billion, four hundred twelve million, three hundred four thousand".