12007004000 has 96 divisors (see below), whose sum is σ = 29772943200. Its totient is φ = 4758566400.

The previous prime is 12007003961. The next prime is 12007004063. The reversal of 12007004000 is 40070021.

It is a happy number.

12007004000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 422231 + ... + 449769.

It is an arithmetic number, because the mean of its divisors is an integer number (310134825).

Almost surely, 2^12007004000 is an apocalyptic number.

12007004000 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 12007004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14886471600).

12007004000 is an abundant number, since it is smaller than the sum of its proper divisors (17765939200).

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

12007004000 is a wasteful number, since it uses less digits than its factorization.

12007004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27673 (or 27655 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

Adding to 12007004000 its reverse (40070021), we get a palindrome (12047074021).

The spelling of 12007004000 in words is "twelve billion, seven million, four thousand".