12432310400 has 96 divisors (see below), whose sum is σ = 30774765780. Its totient is φ = 4962713600.

The previous prime is 12432310391. The next prime is 12432310417. The reversal of 12432310400 is 401323421.

It can be written as a sum of positive squares in 6 ways, for example, as 2173051456 + 10259258944 = 46616^2 + 101288^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1663472 + ... + 1670928.

Almost surely, 2^12432310400 is an apocalyptic number.

12432310400 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 12432310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15387382890).

12432310400 is an abundant number, since it is smaller than the sum of its proper divisors (18342455380).

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

12432310400 is an equidigital number, since it uses as much as digits as its factorization.

12432310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8002 (or 7985 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 12432310400 its reverse (401323421), we get a palindrome (12833633821).

The spelling of 12432310400 in words is "twelve billion, four hundred thirty-two million, three hundred ten thousand, four hundred".