12886000 has 80 divisors (see below), whose sum is σ = 33078240. Its totient is φ = 4838400.

The previous prime is 12885997. The next prime is 12886001. The reversal of 12886000 is 68821.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12886001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33811 + ... + 34189.

It is an arithmetic number, because the mean of its divisors is an integer number (413478).

Almost surely, 2^12886000 is an apocalyptic number.

12886000 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 12886000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16539120).

12886000 is an abundant number, since it is smaller than the sum of its proper divisors (20192240).

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

12886000 is a wasteful number, since it uses less digits than its factorization.

12886000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 12886000 is about 3589.7075089762. The cubic root of 12886000 is about 234.4441366409. Note that the first 3 decimals are identical.

The spelling of 12886000 in words is "twelve million, eight hundred eighty-six thousand".