12525034400 has 72 divisors (see below), whose sum is σ = 30665537280. Its totient is φ = 4995464960.

The previous prime is 12525034397. The next prime is 12525034411. The reversal of 12525034400 is 443052521.

It is a happy number.

12525034400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12525034400.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 255041 + ... + 300159.

It is an arithmetic number, because the mean of its divisors is an integer number (425910240).

Almost surely, 2^12525034400 is an apocalyptic number.

12525034400 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 12525034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15332768640).

12525034400 is an abundant number, since it is smaller than the sum of its proper divisors (18140502880).

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

12525034400 is a wasteful number, since it uses less digits than its factorization.

12525034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45486 (or 45473 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

Adding to 12525034400 its reverse (443052521), we get a palindrome (12968086921).

The spelling of 12525034400 in words is "twelve billion, five hundred twenty-five million, thirty-four thousand, four hundred".