12281760 has 96 divisors (see below), whose sum is σ = 43001280. Its totient is φ = 3273984.

The previous prime is 12281729. The next prime is 12281767. The reversal of 12281760 is 6718221.

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12281767) 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 15 ways as a sum of consecutive naturals, for example, 2899 + ... + 5741.

It is an arithmetic number, because the mean of its divisors is an integer number (447930).

Almost surely, 2^12281760 is an apocalyptic number.

12281760 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 12281760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21500640).

12281760 is an abundant number, since it is smaller than the sum of its proper divisors (30719520).

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

12281760 is a wasteful number, since it uses less digits than its factorization.

12281760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2867 (or 2853 counting only the distinct ones).

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

The square root of 12281760 is about 3504.5342058539. The cubic root of 12281760 is about 230.7208637096.

Adding to 12281760 its reverse (6718221), we get a palindrome (18999981).

It can be divided in two parts, 12281 and 760, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 12281760 in words is "twelve million, two hundred eighty-one thousand, seven hundred sixty".