12271248 has 120 divisors (see below), whose sum is σ = 38378496. Its totient is φ = 3628800.

The previous prime is 12271247. The next prime is 12271261. The reversal of 12271248 is 84217221.

It is not an unprimeable number, because it can be changed into a prime (12271247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96561 + ... + 96687.

Almost surely, 2^12271248 is an apocalyptic number.

12271248 is a gapful number since it is divisible by the number (18) 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 12271248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19189248).

12271248 is an abundant number, since it is smaller than the sum of its proper divisors (26107248).

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

12271248 is a wasteful number, since it uses less digits than its factorization.

12271248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 204 counting only the distinct ones).

The product of its digits is 1792, while the sum is 27.

The square root of 12271248 is about 3503.0341134508. The cubic root of 12271248 is about 230.6550199977.

Adding to 12271248 its reverse (84217221), we get a palindrome (96488469).

It can be divided in two parts, 122712 and 48, that added together give a triangular number (122760 = T₄₉₅).

The spelling of 12271248 in words is "twelve million, two hundred seventy-one thousand, two hundred forty-eight".