12580152200 has 324 divisors, whose sum is σ = 37765092645. Its totient is φ = 3883017600.

The previous prime is 12580152173. The next prime is 12580152203. The reversal of 12580152200 is 225108521.

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 2 ways, for example, as 12328549156 + 251603044 = 111034^2 + 15862^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=79310.

It is a self number, because there is not a number n which added to its sum of digits gives 12580152200.

It is not an unprimeable number, because it can be changed into a prime (12580152203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 122137349 + ... + 122137451.

Almost surely, 2^12580152200 is an apocalyptic number.

12580152200 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 12580152200

12580152200 is an abundant number, since it is smaller than the sum of its proper divisors (25184940445).

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

12580152200 is a wasteful number, since it uses less digits than its factorization.

12580152200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

The spelling of 12580152200 in words is "twelve billion, five hundred eighty million, one hundred fifty-two thousand, two hundred".