12683000 has 64 divisors (see below), whose sum is σ = 32404320. Its totient is φ = 4608000.

The previous prime is 12682991. The next prime is 12683023. The reversal of 12683000 is 38621.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 10424 + ... + 11576.

Almost surely, 2^12683000 is an apocalyptic number.

12683000 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 12683000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16202160).

12683000 is an abundant number, since it is smaller than the sum of its proper divisors (19721320).

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

12683000 is a wasteful number, since it uses less digits than its factorization.

12683000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 12683000 is about 3561.3199800074. The cubic root of 12683000 is about 233.2065070409.

The spelling of 12683000 in words is "twelve million, six hundred eighty-three thousand".