12505400300 has 144 divisors (see below), whose sum is σ = 28618168320. Its totient is φ = 4736928000.

The previous prime is 12505400293. The next prime is 12505400339. The reversal of 12505400300 is 300450521.

12505400300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 47 ways as a sum of consecutive naturals, for example, 59267195 + ... + 59267405.

It is an arithmetic number, because the mean of its divisors is an integer number (198737280).

Almost surely, 2^12505400300 is an apocalyptic number.

12505400300 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 12505400300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14309084160).

12505400300 is an abundant number, since it is smaller than the sum of its proper divisors (16112768020).

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

12505400300 is a wasteful number, since it uses less digits than its factorization.

12505400300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

Adding to 12505400300 its reverse (300450521), we get a palindrome (12805850821).

The spelling of 12505400300 in words is "twelve billion, five hundred five million, four hundred thousand, three hundred".