12582220 has 72 divisors (see below), whose sum is σ = 31658256. Its totient is φ = 4185216.

The previous prime is 12582191. The next prime is 12582223. The reversal of 12582220 is 2228521.

It is a junction number, because it is equal to n+sod(n) for n = 12582191 and 12582200.

It is not an unprimeable number, because it can be changed into a prime (12582223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36087 + ... + 36433.

It is an arithmetic number, because the mean of its divisors is an integer number (439698).

Almost surely, 2^12582220 is an apocalyptic number.

12582220 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 12582220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15829128).

12582220 is an abundant number, since it is smaller than the sum of its proper divisors (19076036).

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

12582220 is a wasteful number, since it uses less digits than its factorization.

12582220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 12582220 is about 3547.1425119383. The cubic root of 12582220 is about 232.5871719987.

The spelling of 12582220 in words is "twelve million, five hundred eighty-two thousand, two hundred twenty".