12585132 has 120 divisors (see below), whose sum is σ = 39029760. Its totient is φ = 3460320.

The previous prime is 12585121. The next prime is 12585137. The reversal of 12585132 is 23158521.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12585096 and 12585105.

It is not an unprimeable number, because it can be changed into a prime (12585137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 70219 + ... + 70397.

It is an arithmetic number, because the mean of its divisors is an integer number (325248).

Almost surely, 2^12585132 is an apocalyptic number.

12585132 is a gapful number since it is divisible by the number (12) 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 12585132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19514880).

12585132 is an abundant number, since it is smaller than the sum of its proper divisors (26444628).

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

12585132 is a wasteful number, since it uses less digits than its factorization.

12585132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 222 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 12585132 is about 3547.5529594356. The cubic root of 12585132 is about 232.6051137610.

The spelling of 12585132 in words is "twelve million, five hundred eighty-five thousand, one hundred thirty-two".