12511221200 has 30 divisors (see below), whose sum is σ = 30058209894. Its totient is φ = 5004488320.

The previous prime is 12511221187. The next prime is 12511221227. The reversal of 12511221200 is 212211521.

12511221200 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 148449856 + 12362771344 = 12184^2 + 111188^2 .

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 15638627 + ... + 15639426.

Almost surely, 2^12511221200 is an apocalyptic number.

12511221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12511221200 is an abundant number, since it is smaller than the sum of its proper divisors (17546988694).

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

12511221200 is a wasteful number, since it uses less digits than its factorization.

12511221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31278071 (or 31278060 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

Adding to 12511221200 its reverse (212211521), we get a palindrome (12723432721).

The spelling of 12511221200 in words is "twelve billion, five hundred eleven million, two hundred twenty-one thousand, two hundred".