12544400 has 60 divisors (see below), whose sum is σ = 32889264. Its totient is φ = 4560000.

The previous prime is 12544387. The next prime is 12544409. The reversal of 12544400 is 444521.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (12544409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2975 + ... + 5825.

Almost surely, 2^12544400 is an apocalyptic number.

12544400 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 12544400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16444632).

12544400 is an abundant number, since it is smaller than the sum of its proper divisors (20344864).

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

12544400 is a wasteful number, since it uses less digits than its factorization.

12544400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2880 (or 2869 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 12544400 is about 3541.8074481824. The cubic root of 12544400 is about 232.3538990381.

Adding to 12544400 its reverse (444521), we get a palindrome (12988921).

It can be divided in two parts, 12544 and 400, that multiplied together give a square (5017600 = 2240²).

The spelling of 12544400 in words is "twelve million, five hundred forty-four thousand, four hundred".