12283520 has 64 divisors (see below), whose sum is σ = 31120200. Its totient is φ = 4620288.

The previous prime is 12283511. The next prime is 12283543. The reversal of 12283520 is 2538221.

12283520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8809024 + 3474496 = 2968^2 + 1864^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10316 + ... + 11444.

Almost surely, 2^12283520 is an apocalyptic number.

12283520 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 12283520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15560100).

12283520 is an abundant number, since it is smaller than the sum of its proper divisors (18836680).

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

12283520 is a wasteful number, since it uses less digits than its factorization.

12283520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 12283520 is about 3504.7853001290. The cubic root of 12283520 is about 230.7318840988.

The spelling of 12283520 in words is "twelve million, two hundred eighty-three thousand, five hundred twenty".