12580531200 has 330 divisors, whose sum is σ = 46591906196. Its totient is φ = 3354255360.

The previous prime is 12580531193. The next prime is 12580531207. The reversal of 12580531200 is 213508521.

It is a happy number.

12580531200 is a `hidden beast` number, since 12 + 580 + 53 + 1 + 20 + 0 = 666.

12580531200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12580531193) and next prime (12580531207).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12580531207) 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 29 ways as a sum of consecutive naturals, for example, 2070567 + ... + 2076633.

Almost surely, 2^12580531200 is an apocalyptic number.

12580531200 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 12580531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23295953098).

12580531200 is an abundant number, since it is smaller than the sum of its proper divisors (34011374996).

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

12580531200 is an equidigital number, since it uses as much as digits as its factorization.

12580531200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6109 (or 6077 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 12580531200 in words is "twelve billion, five hundred eighty million, five hundred thirty-one thousand, two hundred".