12003816000 has 448 divisors, whose sum is σ = 44334501120. Its totient is φ = 2836480000.

The previous prime is 12003815977. The next prime is 12003816007. The reversal of 12003816000 is 61830021.

12003816000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×12003816000⁴ (a number of 41 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12003816007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10823446 + ... + 10824554.

It is an arithmetic number, because the mean of its divisors is an integer number (98960940).

Almost surely, 2^12003816000 is an apocalyptic number.

12003816000 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 12003816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22167250560).

12003816000 is an abundant number, since it is smaller than the sum of its proper divisors (32330685120).

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

12003816000 is a wasteful number, since it uses less digits than its factorization.

12003816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The spelling of 12003816000 in words is "twelve billion, three million, eight hundred sixteen thousand".