12512688 has 80 divisors (see below), whose sum is σ = 34149600. Its totient is φ = 3942400.

The previous prime is 12512681. The next prime is 12512693. The reversal of 12512688 is 88621521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12512681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123838 + ... + 123938.

It is an arithmetic number, because the mean of its divisors is an integer number (426870).

Almost surely, 2^12512688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12512688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17074800).

12512688 is an abundant number, since it is smaller than the sum of its proper divisors (21636912).

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

12512688 is a wasteful number, since it uses less digits than its factorization.

12512688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 224 counting only the distinct ones).

The product of its digits is 7680, while the sum is 33.

The square root of 12512688 is about 3537.3278049963. The cubic root of 12512688 is about 232.1579384330.

The spelling of 12512688 in words is "twelve million, five hundred twelve thousand, six hundred eighty-eight".