12528958200 has 192 divisors, whose sum is σ = 42969035520. Its totient is φ = 2994432000.

The previous prime is 12528958193. The next prime is 12528958217. The reversal of 12528958200 is 285982521.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 455232 + ... + 481968.

It is an arithmetic number, because the mean of its divisors is an integer number (223797060).

Almost surely, 2^12528958200 is an apocalyptic number.

12528958200 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 12528958200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21484517760).

12528958200 is an abundant number, since it is smaller than the sum of its proper divisors (30440077320).

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

12528958200 is a wasteful number, since it uses less digits than its factorization.

12528958200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26838 (or 26829 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 42.

The spelling of 12528958200 in words is "twelve billion, five hundred twenty-eight million, nine hundred fifty-eight thousand, two hundred".