12705600 has 84 divisors (see below), whose sum is σ = 41700704. Its totient is φ = 3386880.

The previous prime is 12705587. The next prime is 12705617. The reversal of 12705600 is 650721.

It is a super-2 number, since 2×12705600² = 322864542720000, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 3477 + ... + 6123.

Almost surely, 2^12705600 is an apocalyptic number.

12705600 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 12705600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20850352).

12705600 is an abundant number, since it is smaller than the sum of its proper divisors (28995104).

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

12705600 is a wasteful number, since it uses less digits than its factorization.

12705600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2672 (or 2657 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 12705600 is about 3564.4915485943. The cubic root of 12705600 is about 233.3449427330.

The spelling of 12705600 in words is "twelve million, seven hundred five thousand, six hundred".