12560000 has 80 divisors (see below), whose sum is σ = 31466490. Its totient is φ = 4992000.

The previous prime is 12559997. The next prime is 12560003. The reversal of 12560000 is 6521.

12560000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12559997) and next prime (12560003).

It can be written as a sum of positive squares in 5 ways, for example, as 64 + 12559936 = 8^2 + 3544^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (12560003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 79922 + ... + 80078.

Almost surely, 2^12560000 is an apocalyptic number.

12560000 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 12560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15733245).

12560000 is an abundant number, since it is smaller than the sum of its proper divisors (18906490).

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

12560000 is an frugal number, since it uses more digits than its factorization.

12560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 12560000 is about 3544.0090293339. The cubic root of 12560000 is about 232.4501762432.

Adding to 12560000 its reverse (6521), we get a palindrome (12566521).

The spelling of 12560000 in words is "twelve million, five hundred sixty thousand".