12531040 has 72 divisors (see below), whose sum is σ = 31564512. Its totient is φ = 4700160.

The previous prime is 12531019. The next prime is 12531041. The reversal of 12531040 is 4013521.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12531041) 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, 46105 + ... + 46375.

It is an arithmetic number, because the mean of its divisors is an integer number (438396).

Almost surely, 2^12531040 is an apocalyptic number.

12531040 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 12531040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15782256).

12531040 is an abundant number, since it is smaller than the sum of its proper divisors (19033472).

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

12531040 is a wasteful number, since it uses less digits than its factorization.

12531040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 12531040 is about 3539.9209030711. The cubic root of 12531040 is about 232.2713827820.

Adding to 12531040 its reverse (4013521), we get a palindrome (16544561).

The spelling of 12531040 in words is "twelve million, five hundred thirty-one thousand, forty".