12581040 has 160 divisors (see below), whose sum is σ = 42854400. Its totient is φ = 3041280.

The previous prime is 12581033. The next prime is 12581047. The reversal of 12581040 is 4018521.

It is an interprime number because it is at equal distance from previous prime (12581033) and next prime (12581047).

It is a junction number, because it is equal to n+sod(n) for n = 12580998 and 12581016.

It is not an unprimeable number, because it can be changed into a prime (12581047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141316 + ... + 141404.

It is an arithmetic number, because the mean of its divisors is an integer number (267840).

Almost surely, 2^12581040 is an apocalyptic number.

12581040 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 12581040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21427200).

12581040 is an abundant number, since it is smaller than the sum of its proper divisors (30273360).

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

12581040 is a wasteful number, since it uses less digits than its factorization.

12581040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 12581040 is about 3546.9761769710. The cubic root of 12581040 is about 232.5799008536.

Adding to 12581040 its reverse (4018521), we get a palindrome (16599561).

The spelling of 12581040 in words is "twelve million, five hundred eighty-one thousand, forty".