12255760 has 80 divisors (see below), whose sum is σ = 32765760. Its totient is φ = 4216320.

The previous prime is 12255743. The next prime is 12255781. The reversal of 12255760 is 6755221.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16354 + ... + 17086.

It is an arithmetic number, because the mean of its divisors is an integer number (409572).

Almost surely, 2^12255760 is an apocalyptic number.

12255760 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 12255760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16382880).

12255760 is an abundant number, since it is smaller than the sum of its proper divisors (20510000).

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

12255760 is a wasteful number, since it uses less digits than its factorization.

12255760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 12255760 is about 3500.8227604379. The cubic root of 12255760 is about 230.5579397075.

The spelling of 12255760 in words is "twelve million, two hundred fifty-five thousand, seven hundred sixty".