12788500 has 24 divisors (see below), whose sum is σ = 27931176. Its totient is φ = 5115200.

The previous prime is 12788497. The next prime is 12788513. The reversal of 12788500 is 588721.

It can be written as a sum of positive squares in 4 ways, for example, as 2979076 + 9809424 = 1726^2 + 3132^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12289 + ... + 13288.

It is an arithmetic number, because the mean of its divisors is an integer number (1163799).

Almost surely, 2^12788500 is an apocalyptic number.

12788500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12788500 is an abundant number, since it is smaller than the sum of its proper divisors (15142676).

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

12788500 is a wasteful number, since it uses less digits than its factorization.

12788500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25596 (or 25584 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 31.

The square root of 12788500 is about 3576.1012289923. The cubic root of 12788500 is about 233.8513434750.

The spelling of 12788500 in words is "twelve million, seven hundred eighty-eight thousand, five hundred".