12430441320 has 192 divisors, whose sum is σ = 41454504000. Its totient is φ = 2979271680.

The previous prime is 12430441319. The next prime is 12430441351. The reversal of 12430441320 is 2314403421.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 47 ways as a sum of consecutive naturals, for example, 1287471 + ... + 1297089.

It is an arithmetic number, because the mean of its divisors is an integer number (215908875).

Almost surely, 2^12430441320 is an apocalyptic number.

12430441320 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 12430441320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20727252000).

12430441320 is an abundant number, since it is smaller than the sum of its proper divisors (29024062680).

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

12430441320 is a wasteful number, since it uses less digits than its factorization.

12430441320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9744 (or 9729 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12430441320 its reverse (2314403421), we get a palindrome (14744844741).

The spelling of 12430441320 in words is "twelve billion, four hundred thirty million, four hundred forty-one thousand, three hundred twenty".