12271680 has 84 divisors (see below), whose sum is σ = 42219372. Its totient is φ = 3271680.

The previous prime is 12271643. The next prime is 12271681. The reversal of 12271680 is 8617221.

It can be written as a sum of positive squares in 2 ways, for example, as 8856576 + 3415104 = 2976^2 + 1848^2 .

It is not an unprimeable number, because it can be changed into a prime (12271681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 750 + ... + 5010.

Almost surely, 2^12271680 is an apocalyptic number.

12271680 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 12271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21109686).

12271680 is an abundant number, since it is smaller than the sum of its proper divisors (29947692).

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

12271680 is a wasteful number, since it uses less digits than its factorization.

12271680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4284 (or 4271 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 12271680 is about 3503.0957737407. The cubic root of 12271680 is about 230.6577266444.

The spelling of 12271680 in words is "twelve million, two hundred seventy-one thousand, six hundred eighty".