12641000 has 32 divisors (see below), whose sum is σ = 29582280. Its totient is φ = 5056000.

The previous prime is 12640993. The next prime is 12641003. The reversal of 12641000 is 14621.

It can be written as a sum of positive squares in 4 ways, for example, as 432964 + 12208036 = 658^2 + 3494^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12641003) 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, 5321 + ... + 7320.

Almost surely, 2^12641000 is an apocalyptic number.

12641000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12641000 is an abundant number, since it is smaller than the sum of its proper divisors (16941280).

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

12641000 is a wasteful number, since it uses less digits than its factorization.

12641000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12662 (or 12648 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 12641000 is about 3555.4184001324. The cubic root of 12641000 is about 232.9487997429.

Adding to 12641000 its reverse (14621), we get a palindrome (12655621).

The spelling of 12641000 in words is "twelve million, six hundred forty-one thousand".