12255360 has 128 divisors (see below), whose sum is σ = 42154560. Its totient is φ = 3010560.

The previous prime is 12255359. The next prime is 12255367. The reversal of 12255360 is 6355221.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a self number, because there is not a number n which added to its sum of digits gives 12255360.

It is not an unprimeable number, because it can be changed into a prime (12255367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24715 + ... + 25205.

Almost surely, 2^12255360 is an apocalyptic number.

12255360 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 12255360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21077280).

12255360 is an abundant number, since it is smaller than the sum of its proper divisors (29899200).

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

12255360 is a wasteful number, since it uses less digits than its factorization.

12255360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 12255360 is about 3500.7656305443. The cubic root of 12255360 is about 230.5554313854. Note that the first 3 decimals are identical.

The spelling of 12255360 in words is "twelve million, two hundred fifty-five thousand, three hundred sixty".