12445004000 has 192 divisors, whose sum is σ = 35924720832. Its totient is φ = 4177152000.

The previous prime is 12445003951. The next prime is 12445004029. The reversal of 12445004000 is 40054421.

12445004000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 31 ways as a sum of consecutive naturals, for example, 561122 + ... + 582878.

It is an arithmetic number, because the mean of its divisors is an integer number (187107921).

Almost surely, 2^12445004000 is an apocalyptic number.

12445004000 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 12445004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17962360416).

12445004000 is an abundant number, since it is smaller than the sum of its proper divisors (23479716832).

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

12445004000 is a wasteful number, since it uses less digits than its factorization.

12445004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21806 (or 21788 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 12445004000 its reverse (40054421), we get a palindrome (12485058421).

The spelling of 12445004000 in words is "twelve billion, four hundred forty-five million, four thousand".