12432320160 has 288 divisors, whose sum is σ = 44518844160. Its totient is φ = 2898671616.

The previous prime is 12432320149. The next prime is 12432320191. The reversal of 12432320160 is 6102323421.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12432320160.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2249881 + ... + 2255399.

It is an arithmetic number, because the mean of its divisors is an integer number (154579320).

Almost surely, 2^12432320160 is an apocalyptic number.

12432320160 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 12432320160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22259422080).

12432320160 is an abundant number, since it is smaller than the sum of its proper divisors (32086524000).

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

12432320160 is a wasteful number, since it uses less digits than its factorization.

12432320160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5588 (or 5561 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12432320160 its reverse (6102323421), we get a palindrome (18534643581).

The spelling of 12432320160 in words is "twelve billion, four hundred thirty-two million, three hundred twenty thousand, one hundred sixty".