12268320 has 96 divisors (see below), whose sum is σ = 39372480. Its totient is φ = 3210240.

The previous prime is 12268309. The next prime is 12268331. The reversal of 12268320 is 2386221.

It is an interprime number because it is at equal distance from previous prime (12268309) and next prime (12268331).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29071 + ... + 29489.

It is an arithmetic number, because the mean of its divisors is an integer number (410130).

Almost surely, 2^12268320 is an apocalyptic number.

12268320 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 12268320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19686240).

12268320 is an abundant number, since it is smaller than the sum of its proper divisors (27104160).

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

12268320 is a wasteful number, since it uses less digits than its factorization.

12268320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 12268320 is about 3502.6161650972. The cubic root of 12268320 is about 230.6366732732.

The spelling of 12268320 in words is "twelve million, two hundred sixty-eight thousand, three hundred twenty".