12144324000 has 384 divisors, whose sum is σ = 42881529600. Its totient is φ = 2993356800.

The previous prime is 12144323987. The next prime is 12144324013. The reversal of 12144324000 is 42344121.

It is an interprime number because it is at equal distance from previous prime (12144323987) and next prime (12144324013).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12035496 + ... + 12036504.

It is an arithmetic number, because the mean of its divisors is an integer number (111670650).

Almost surely, 2^12144324000 is an apocalyptic number.

12144324000 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 12144324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21440764800).

12144324000 is an abundant number, since it is smaller than the sum of its proper divisors (30737205600).

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

12144324000 is a wasteful number, since it uses less digits than its factorization.

12144324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 12144324000 its reverse (42344121), we get a palindrome (12186668121).

The spelling of 12144324000 in words is "twelve billion, one hundred forty-four million, three hundred twenty-four thousand".