12003264000 has 960 divisors, whose sum is σ = 53442829440. Its totient is φ = 2521497600.

The previous prime is 12003263983. The next prime is 12003264023. The reversal of 12003264000 is 46230021.

It is a happy number.

12003264000 is a `hidden beast` number, since 1 + 20 + 0 + 3 + 2 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 12003264000 = 736³ + 2264³ = 1180³ + 2180³.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52415886 + ... + 52416114.

It is an arithmetic number, because the mean of its divisors is an integer number (55669614).

Almost surely, 2^12003264000 is an apocalyptic number.

12003264000 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 12003264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26721414720).

12003264000 is an abundant number, since it is smaller than the sum of its proper divisors (41439565440).

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

12003264000 is a wasteful number, since it uses less digits than its factorization.

12003264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12003264000 its reverse (46230021), we get a palindrome (12049494021).

The spelling of 12003264000 in words is "twelve billion, three million, two hundred sixty-four thousand".