12515328000 has 720 divisors, whose sum is σ = 52097957184. Its totient is φ = 2831155200.

The previous prime is 12515327953. The next prime is 12515328013. The reversal of 12515328000 is 82351521.

It is a happy number.

12515328000 is a `hidden beast` number, since 1 + 2 + 51 + 532 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129023952 + ... + 129024048.

Almost surely, 2^12515328000 is an apocalyptic number.

12515328000 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 12515328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26048978592).

12515328000 is an abundant number, since it is smaller than the sum of its proper divisors (39582629184).

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

12515328000 is an frugal number, since it uses more digits than its factorization.

12515328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 114 counting only the distinct ones).

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

Adding to 12515328000 its reverse (82351521), we get a palindrome (12597679521).

The spelling of 12515328000 in words is "twelve billion, five hundred fifteen million, three hundred twenty-eight thousand".