12258803200 has 480 divisors, whose sum is σ = 36825643008. Its totient is φ = 3956736000.

The previous prime is 12258803191. The next prime is 12258803201. The reversal of 12258803200 is 230885221.

12258803200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12258803201) 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 47 ways as a sum of consecutive naturals, for example, 172659165 + ... + 172659235.

Almost surely, 2^12258803200 is an apocalyptic number.

12258803200 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 12258803200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18412821504).

12258803200 is an abundant number, since it is smaller than the sum of its proper divisors (24566839808).

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

12258803200 is an equidigital number, since it uses as much as digits as its factorization.

12258803200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The spelling of 12258803200 in words is "twelve billion, two hundred fifty-eight million, eight hundred three thousand, two hundred".