12541440 has 160 divisors (see below), whose sum is σ = 42425856. Its totient is φ = 3153920.

The previous prime is 12541439. The next prime is 12541447. The reversal of 12541440 is 4414521.

It is a happy number.

12541440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12541447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176605 + ... + 176675.

Almost surely, 2^12541440 is an apocalyptic number.

12541440 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 12541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21212928).

12541440 is an abundant number, since it is smaller than the sum of its proper divisors (29884416).

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

12541440 is an equidigital number, since it uses as much as digits as its factorization.

12541440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 12541440 is about 3541.3895577866. The cubic root of 12541440 is about 232.3356220475.

Adding to 12541440 its reverse (4414521), we get a palindrome (16955961).

The spelling of 12541440 in words is "twelve million, five hundred forty-one thousand, four hundred forty".