12430640144 has 80 divisors (see below), whose sum is σ = 26469555840. Its totient is φ = 5620116480.

The previous prime is 12430640137. The next prime is 12430640147. The reversal of 12430640144 is 44104603421.

It is not an unprimeable number, because it can be changed into a prime (12430640147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3814964 + ... + 3818220.

It is an arithmetic number, because the mean of its divisors is an integer number (330869448).

Almost surely, 2^12430640144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12430640144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13234777920).

12430640144 is an abundant number, since it is smaller than the sum of its proper divisors (14038915696).

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

12430640144 is a wasteful number, since it uses less digits than its factorization.

12430640144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3648 (or 3642 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The spelling of 12430640144 in words is "twelve billion, four hundred thirty million, six hundred forty thousand, one hundred forty-four".