12432400 has 30 divisors (see below), whose sum is σ = 29869802. Its totient is φ = 4972800.

The previous prime is 12432391. The next prime is 12432449. The reversal of 12432400 is 423421.

It can be written as a sum of positive squares in 3 ways, for example, as 266256 + 12166144 = 516^2 + 3488^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 15141 + ... + 15940.

Almost surely, 2^12432400 is an apocalyptic number.

12432400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12432400 is an abundant number, since it is smaller than the sum of its proper divisors (17437402).

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

12432400 is a wasteful number, since it uses less digits than its factorization.

12432400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31099 (or 31088 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 12432400 is about 3525.9608619495. The cubic root of 12432400 is about 231.6603233660.

Adding to 12432400 its reverse (423421), we get a palindrome (12855821).

The spelling of 12432400 in words is "twelve million, four hundred thirty-two thousand, four hundred".