12258648200 has 36 divisors (see below), whose sum is σ = 28504998015. Its totient is φ = 4902832960.

The previous prime is 12258648191. The next prime is 12258648239. The reversal of 12258648200 is 284685221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 625300036 + 11633348164 = 25006^2 + 107858^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=78290.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1561886 + ... + 1569714.

Almost surely, 2^12258648200 is an apocalyptic number.

12258648200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12258648200 is an abundant number, since it is smaller than the sum of its proper divisors (16246349815).

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

12258648200 is an frugal number, since it uses more digits than its factorization.

12258648200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15674 (or 7836 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 38.

The spelling of 12258648200 in words is "twelve billion, two hundred fifty-eight million, six hundred forty-eight thousand, two hundred".