12681300 has 72 divisors (see below), whose sum is σ = 37622592. Its totient is φ = 3296000.

The previous prime is 12681299. The next prime is 12681307. The reversal of 12681300 is 318621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12681307) 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 23 ways as a sum of consecutive naturals, for example, 11785 + ... + 12815.

It is an arithmetic number, because the mean of its divisors is an integer number (522536).

Almost surely, 2^12681300 is an apocalyptic number.

12681300 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 12681300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18811296).

12681300 is an abundant number, since it is smaller than the sum of its proper divisors (24941292).

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

12681300 is a wasteful number, since it uses less digits than its factorization.

12681300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 12681300 is about 3561.0812964604. The cubic root of 12681300 is about 233.1960870883.

Adding to 12681300 its reverse (318621), we get a palindrome (12999921).

The spelling of 12681300 in words is "twelve million, six hundred eighty-one thousand, three hundred".