12432000 has 256 divisors, whose sum is σ = 48372480. Its totient is φ = 2764800.

The previous prime is 12431977. The next prime is 12432011. The reversal of 12432000 is 23421.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 335982 + ... + 336018.

It is an arithmetic number, because the mean of its divisors is an integer number (188955).

Almost surely, 2^12432000 is an apocalyptic number.

12432000 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 12432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24186240).

12432000 is an abundant number, since it is smaller than the sum of its proper divisors (35940480).

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

12432000 is an equidigital number, since it uses as much as digits as its factorization.

12432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 12432000 is about 3525.9041393662. The cubic root of 12432000 is about 231.6578388599.

Adding to 12432000 its reverse (23421), we get a palindrome (12455421).

The spelling of 12432000 in words is "twelve million, four hundred thirty-two thousand".