12985600 has 54 divisors (see below), whose sum is σ = 32157230. Its totient is φ = 5191680.

The previous prime is 12985597. The next prime is 12985601. The reversal of 12985600 is 658921.

It can be written as a sum of positive squares in 3 ways, for example, as 4129024 + 8856576 = 2032^2 + 2976^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12985601) 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 5 ways as a sum of consecutive naturals, for example, 5386 + ... + 7414.

Almost surely, 2^12985600 is an apocalyptic number.

12985600 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 12985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16078615).

12985600 is an abundant number, since it is smaller than the sum of its proper divisors (19171630).

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

12985600 is an equidigital number, since it uses as much as digits as its factorization.

12985600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2055 (or 2036 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 12985600 is about 3603.5538014577. The cubic root of 12985600 is about 235.0466181847.

The spelling of 12985600 in words is "twelve million, nine hundred eighty-five thousand, six hundred".