12528324900 has 729 divisors, whose sum is σ = 50700741273. Its totient is φ = 2578867200.

The previous prime is 12528324881. The next prime is 12528324901. The reversal of 12528324900 is 942382521.

It is a happy number.

The square root of 12528324900 is 111930.

It is a perfect power (a square), and thus also a powerful number.

12528324900 is a `hidden beast` number, since 12 + 528 + 32 + 4 + 90 + 0 = 666.

12528324900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 11353754916 + 1174569984 = 106554^2 + 34272^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12528324901) 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 242 ways as a sum of consecutive naturals, for example, 305568880 + ... + 305568920.

Almost surely, 2^12528324900 is an apocalyptic number.

12528324900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12528324900 is the 111930-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12528324900

12528324900 is an abundant number, since it is smaller than the sum of its proper divisors (38172416373).

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

12528324900 is a wasteful number, since it uses less digits than its factorization.

12528324900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Multiplying 12528324900 by its sum of digits (36), we get a square (451019696400 = 671580²).

12528324900 divided by its sum of digits (36) gives a square (348009025 = 18655²).

The spelling of 12528324900 in words is "twelve billion, five hundred twenty-eight million, three hundred twenty-four thousand, nine hundred".