12144580 has 48 divisors (see below), whose sum is σ = 29352960. Its totient is φ = 4134528.

The previous prime is 12144577. The next prime is 12144581. The reversal of 12144580 is 8544121.

It is not an unprimeable number, because it can be changed into a prime (12144581) 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 15 ways as a sum of consecutive naturals, for example, 31026 + ... + 31414.

It is an arithmetic number, because the mean of its divisors is an integer number (611520).

Almost surely, 2^12144580 is an apocalyptic number.

12144580 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 12144580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14676480).

12144580 is an abundant number, since it is smaller than the sum of its proper divisors (17208380).

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

12144580 is a wasteful number, since it uses less digits than its factorization.

12144580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 12144580 is about 3484.9074593165. The cubic root of 12144580 is about 229.8586402952.

The spelling of 12144580 in words is "twelve million, one hundred forty-four thousand, five hundred eighty".