12800512 has 40 divisors (see below), whose sum is σ = 26712576. Its totient is φ = 6116352.

The previous prime is 12800503. The next prime is 12800533. The reversal of 12800512 is 21500821.

It is a self number, because there is not a number n which added to its sum of digits gives 12800512.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11233 + ... + 12319.

Almost surely, 2^12800512 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 12800512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13356288).

12800512 is an abundant number, since it is smaller than the sum of its proper divisors (13912064).

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

12800512 is an equidigital number, since it uses as much as digits as its factorization.

12800512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 12800512 is about 3577.7803174594. The cubic root of 12800512 is about 233.9245379677.

It can be divided in two parts, 12800 and 512, that multiplied together give a square (6553600 = 2560²).

The spelling of 12800512 in words is "twelve million, eight hundred thousand, five hundred twelve".