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12240 = 2432517

12240 has 60 divisors (see below), whose sum is σ = 43524. Its totient is φ = 3072.

The previous prime is 12239. The next prime is 12241. The reversal of 12240 is 4221.

12240 is nontrivially palindromic in base 14.

It is an interprime number because it is at equal distance from previous prime (12239) and next prime (12241).

It can be written as a sum of positive squares in 2 ways, for example, as 7056 + 5184 = 84^2 + 72^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (9).

12240 is an undulating number in base 13.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12241) 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, 712 + ... + 728.

212240 is an apocalyptic number.

12240 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 12240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21762).

12240 is an abundant number, since it is smaller than the sum of its proper divisors (31284).

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

12240 is a wasteful number, since it uses less digits than its factorization.

12240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 12240 is about 110.6345334875. The cubic root of 12240 is about 23.0459070502.

Adding to 12240 its reverse (4221), we get a palindrome (16461).

It can be divided in two parts, 12 and 240, that added together give a palindrome (252).

The spelling of 12240 in words is "twelve thousand, two hundred forty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 48 51 60 68 72 80 85 90 102 120 136 144 153 170 180 204 240 255 272 306 340 360 408 510 612 680 720 765 816 1020 1224 1360 1530 2040 2448 3060 4080 6120 12240