12681600 has 96 divisors (see below), whose sum is σ = 41801640. Its totient is φ = 3379200.

The previous prime is 12681593. The next prime is 12681601. The reversal of 12681600 is 618621.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12681601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8940 + ... + 10260.

Almost surely, 2^12681600 is an apocalyptic number.

12681600 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 12681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20900820).

12681600 is an abundant number, since it is smaller than the sum of its proper divisors (29120040).

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

12681600 is a wasteful number, since it uses less digits than its factorization.

12681600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 12681600 is about 3561.1234182488. The cubic root of 12681600 is about 233.1979259711.

The spelling of 12681600 in words is "twelve million, six hundred eighty-one thousand, six hundred".