12288580 has 24 divisors (see below), whose sum is σ = 26295192. Its totient is φ = 4822272.

The previous prime is 12288559. The next prime is 12288581. The reversal of 12288580 is 8588221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5308416 + 6980164 = 2304^2 + 2642^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (12288581) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4737 + ... + 6856.

It is an arithmetic number, because the mean of its divisors is an integer number (1095633).

Almost surely, 2^12288580 is an apocalyptic number.

12288580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12288580 is an abundant number, since it is smaller than the sum of its proper divisors (14006612).

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

12288580 is a wasteful number, since it uses less digits than its factorization.

12288580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11655 (or 11653 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 34.

The square root of 12288580 is about 3505.5070959848. The cubic root of 12288580 is about 230.7635618550.

The spelling of 12288580 in words is "twelve million, two hundred eighty-eight thousand, five hundred eighty".