12682000 has 80 divisors (see below), whose sum is σ = 32555952. Its totient is φ = 4761600.

The previous prime is 12681959. The next prime is 12682001. The reversal of 12682000 is 28621.

12682000 = T₅₁ + T₅₂ + ... + T₄₂₃.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2262016 + 10419984 = 1504^2 + 3228^2 .

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

It is not an unprimeable number, because it can be changed into a prime (12682001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 33814 + ... + 34186.

Almost surely, 2^12682000 is an apocalyptic number.

12682000 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 12682000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16277976).

12682000 is an abundant number, since it is smaller than the sum of its proper divisors (19873952).

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

12682000 is a wasteful number, since it uses less digits than its factorization.

12682000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 12682000 is about 3561.1795798583. The cubic root of 12682000 is about 233.2003777698.

The spelling of 12682000 in words is "twelve million, six hundred eighty-two thousand".