12430442000 has 240 divisors, whose sum is σ = 32519585280. Its totient is φ = 4590432000.

The previous prime is 12430441987. The next prime is 12430442051. The reversal of 12430442000 is 24403421.

12430442000 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 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 47 ways as a sum of consecutive naturals, for example, 32797811 + ... + 32798189.

It is an arithmetic number, because the mean of its divisors is an integer number (135498272).

Almost surely, 2^12430442000 is an apocalyptic number.

12430442000 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 12430442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16259792640).

12430442000 is an abundant number, since it is smaller than the sum of its proper divisors (20089143280).

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

12430442000 is a wasteful number, since it uses less digits than its factorization.

12430442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 12430442000 its reverse (24403421), we get a palindrome (12454845421).

The spelling of 12430442000 in words is "twelve billion, four hundred thirty million, four hundred forty-two thousand".