12583434400 has 36 divisors (see below), whose sum is σ = 30719311182. Its totient is φ = 5033373440.

The previous prime is 12583434373. The next prime is 12583434401. The reversal of 12583434400 is 443438521.

12583434400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 8411824656 + 4171609744 = 91716^2 + 64588^2 .

It is not an unprimeable number, because it can be changed into a prime (12583434401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7863847 + ... + 7865446.

Almost surely, 2^12583434400 is an apocalyptic number.

12583434400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12583434400 is an abundant number, since it is smaller than the sum of its proper divisors (18135876782).

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

12583434400 is a wasteful number, since it uses less digits than its factorization.

12583434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15729313 (or 15729300 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The spelling of 12583434400 in words is "twelve billion, five hundred eighty-three million, four hundred thirty-four thousand, four hundred".