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12412 = 2229107
BaseRepresentation
bin11000001111100
3122000201
43001330
5344122
6133244
751121
oct30174
918021
1012412
119364
127224
13585a
144748
153a27
hex307c

12412 has 12 divisors (see below), whose sum is σ = 22680. Its totient is φ = 5936.

The previous prime is 12409. The next prime is 12413. The reversal of 12412 is 21421.

Adding to 12412 its reverse (21421), we get a palindrome (33833).

Subtracting 12412 from its reverse (21421), we obtain a palindrome (9009).

It can be divided in two parts, 124 and 12, that added together give a triangular number (136 = T16).

12412 = 133 + 143 + ... + 163.

12412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

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 (12413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 63 + ... + 169.

It is an arithmetic number, because the mean of its divisors is an integer number (1890).

212412 is an apocalyptic number.

It is an amenable number.

12412 is a deficient number, since it is larger than the sum of its proper divisors (10268).

12412 is a wasteful number, since it uses less digits than its factorization.

12412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 138 counting only the distinct ones).

The product of its digits is 16, while the sum is 10.

The square root of 12412 is about 111.4091558176. The cubic root of 12412 is about 23.1533545543.

The spelling of 12412 in words is "twelve thousand, four hundred twelve", and thus it is an iban number.

Divisors: 1 2 4 29 58 107 116 214 428 3103 6206 12412