12544000 has 144 divisors (see below), whose sum is σ = 36412740. Its totient is φ = 4300800.

The previous prime is 12543997. The next prime is 12544001. The reversal of 12544000 is 44521.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 8479744 + 4064256 = 2912^2 + 2016^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (12544001) 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, 1791997 + ... + 1792003.

Almost surely, 2^12544000 is an apocalyptic number.

12544000 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 12544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18206370).

12544000 is an abundant number, since it is smaller than the sum of its proper divisors (23868740).

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

12544000 is an frugal number, since it uses more digits than its factorization.

12544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 12544000 is about 3541.7509793886. The cubic root of 12544000 is about 232.3514293425.

Multiplying 12544000 by its product of nonzero digits (160), we get a square (2007040000 = 44800²).

12544000 divided by its product of nonzero digits (160) gives a square (78400 = 280²).

Adding to 12544000 its reverse (44521), we get a palindrome (12588521).

The spelling of 12544000 in words is "twelve million, five hundred forty-four thousand".