12284520 has 64 divisors (see below), whose sum is σ = 37134720. Its totient is φ = 3250944.

The previous prime is 12284509. The next prime is 12284521. The reversal of 12284520 is 2548221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12284521) 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, 19734 + ... + 20346.

It is an arithmetic number, because the mean of its divisors is an integer number (580230).

Almost surely, 2^12284520 is an apocalyptic number.

12284520 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 12284520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18567360).

12284520 is an abundant number, since it is smaller than the sum of its proper divisors (24850200).

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

12284520 is a wasteful number, since it uses less digits than its factorization.

12284520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 12284520 is about 3504.9279593167. The cubic root of 12284520 is about 230.7381452145.

The spelling of 12284520 in words is "twelve million, two hundred eighty-four thousand, five hundred twenty".