12405143200 has 72 divisors (see below), whose sum is σ = 30584097180. Its totient is φ = 4912896000.

The previous prime is 12405143171. The next prime is 12405143203. The reversal of 12405143200 is 234150421.

It can be written as a sum of positive squares in 6 ways, for example, as 8984764944 + 3420378256 = 94788^2 + 58484^2 .

It is not an unprimeable number, because it can be changed into a prime (12405143203) 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, 4036 + ... + 157564.

Almost surely, 2^12405143200 is an apocalyptic number.

12405143200 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 12405143200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15292048590).

12405143200 is an abundant number, since it is smaller than the sum of its proper divisors (18178953980).

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

12405143200 is a wasteful number, since it uses less digits than its factorization.

12405143200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153650 (or 153637 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 12405143200 its reverse (234150421), we get a palindrome (12639293621).

The spelling of 12405143200 in words is "twelve billion, four hundred five million, one hundred forty-three thousand, two hundred".