12284960 has 24 divisors (see below), whose sum is σ = 29023596. Its totient is φ = 4913920.

The previous prime is 12284957. The next prime is 12284969. The reversal of 12284960 is 6948221.

It can be written as a sum of positive squares in 2 ways, for example, as 11806096 + 478864 = 3436^2 + 692^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (12284969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38231 + ... + 38550.

Almost surely, 2^12284960 is an apocalyptic number.

12284960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12284960 is an abundant number, since it is smaller than the sum of its proper divisors (16738636).

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

12284960 is an equidigital number, since it uses as much as digits as its factorization.

12284960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76796 (or 76788 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 12284960 is about 3504.9907275198. The cubic root of 12284960 is about 230.7408999979.

The spelling of 12284960 in words is "twelve million, two hundred eighty-four thousand, nine hundred sixty".