12528004320 has 960 divisors, whose sum is σ = 51451956864. Its totient is φ = 2846638080.

The previous prime is 12528004309. The next prime is 12528004337. The reversal of 12528004320 is 2340082521.

12528004320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 205377090 + ... + 205377150.

Almost surely, 2^12528004320 is an apocalyptic number.

12528004320 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 12528004320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25725978432).

12528004320 is an abundant number, since it is smaller than the sum of its proper divisors (38923952544).

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

12528004320 is a wasteful number, since it uses less digits than its factorization.

12528004320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 12528004320 its reverse (2340082521), we get a palindrome (14868086841).

The spelling of 12528004320 in words is "twelve billion, five hundred twenty-eight million, four thousand, three hundred twenty".