12432000400 has 60 divisors (see below), whose sum is σ = 29907861444. Its totient is φ = 4966144000.

The previous prime is 12432000391. The next prime is 12432000403. The reversal of 12432000400 is 400023421.

It can be written as a sum of positive squares in 6 ways, for example, as 823230864 + 11608769536 = 28692^2 + 107744^2 .

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

It is not an unprimeable number, because it can be changed into a prime (12432000403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 283980 + ... + 324820.

Almost surely, 2^12432000400 is an apocalyptic number.

12432000400 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 12432000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14953930722).

12432000400 is an abundant number, since it is smaller than the sum of its proper divisors (17475861044).

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

12432000400 is a wasteful number, since it uses less digits than its factorization.

12432000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41620 (or 41609 counting only the distinct ones).

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

Adding to 12432000400 its reverse (400023421), we get a palindrome (12832023821).

The spelling of 12432000400 in words is "twelve billion, four hundred thirty-two million, four hundred", and thus it is an aban number.