12583116 has 144 divisors (see below), whose sum is σ = 41094144. Its totient is φ = 3155328.

The previous prime is 12583099. The next prime is 12583121. The reversal of 12583116 is 61138521.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 12583116.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75265 + ... + 75431.

It is an arithmetic number, because the mean of its divisors is an integer number (285376).

Almost surely, 2^12583116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12583116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20547072).

12583116 is an abundant number, since it is smaller than the sum of its proper divisors (28511028).

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

12583116 is a wasteful number, since it uses less digits than its factorization.

12583116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 215 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 12583116 is about 3547.2688085343. The cubic root of 12583116 is about 232.5926928358.

The spelling of 12583116 in words is "twelve million, five hundred eighty-three thousand, one hundred sixteen".