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12408 has 32 divisors (see below), whose sum is σ = 34560. Its totient is φ = 3680.

The previous prime is 12401. The next prime is 12409. The reversal of 12408 is 80421.

It is a nialpdrome in base 12.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12401) by changing a digit.

12408 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 241 + ... + 287.

It is an arithmetic number, because the mean of its divisors is an integer number (1080).

212408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17280).

12408 is an abundant number, since it is smaller than the sum of its proper divisors (22152).

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

12408 is a wasteful number, since it uses less digits than its factorization.

12408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 12408 is about 111.3912025252. The cubic root of 12408 is about 23.1508670861.

Adding to 12408 its reverse (80421), we get a palindrome (92829).

The spelling of 12408 in words is "twelve thousand, four hundred eight".
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