12280960 has 64 divisors (see below), whose sum is σ = 30355200. Its totient is φ = 4746240.

The previous prime is 12280951. The next prime is 12280967. The reversal of 12280960 is 6908221.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (12280967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19531 + ... + 20149.

It is an arithmetic number, because the mean of its divisors is an integer number (474300).

Almost surely, 2^12280960 is an apocalyptic number.

12280960 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 12280960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15177600).

12280960 is an abundant number, since it is smaller than the sum of its proper divisors (18074240).

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

12280960 is an equidigital number, since it uses as much as digits as its factorization.

12280960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 12280960 is about 3504.4200661450. The cubic root of 12280960 is about 230.7158540937.

The spelling of 12280960 in words is "twelve million, two hundred eighty thousand, nine hundred sixty".