12865000 has 80 divisors (see below), whose sum is σ = 31489920. Its totient is φ = 4920000.

The previous prime is 12864997. The next prime is 12865001. The reversal of 12865000 is 56821.

It is a happy number.

It is a hoax number, since the sum of its digits (22) 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 (12865001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 154959 + ... + 155041.

It is an arithmetic number, because the mean of its divisors is an integer number (393624).

Almost surely, 2^12865000 is an apocalyptic number.

12865000 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 12865000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15744960).

12865000 is an abundant number, since it is smaller than the sum of its proper divisors (18624920).

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

12865000 is an equidigital number, since it uses as much as digits as its factorization.

12865000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 12865000 is about 3586.7812868922. The cubic root of 12865000 is about 234.3167114309.

The spelling of 12865000 in words is "twelve million, eight hundred sixty-five thousand".