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12612 = 2231051
BaseRepresentation
bin11000101000100
3122022010
43011010
5400422
6134220
751525
oct30504
918263
1012612
119526
127370
135982
14484c
153b0c
hex3144

12612 has 12 divisors (see below), whose sum is σ = 29456. Its totient is φ = 4200.

The previous prime is 12611. The next prime is 12613. The reversal of 12612 is 21621.

Subtracting 12612 from its reverse (21621), we obtain a palindrome (9009).

It is an interprime number because it is at equal distance from previous prime (12611) and next prime (12613).

It is a tau number, because it is divible by the number of its divisors (12).

It is a hoax number, since the sum of its digits (12) 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 (12), and also a Moran number because the ratio is a prime number: 1051 = 12612 / (1 + 2 + 6 + 1 + 2).

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

It is not an unprimeable number, because it can be changed into a prime (12611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 514 + ... + 537.

212612 is an apocalyptic number.

12612 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12612 is an abundant number, since it is smaller than the sum of its proper divisors (16844).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14728).

12612 is a wasteful number, since it uses less digits than its factorization.

12612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1056 counting only the distinct ones).

The product of its digits is 24, while the sum is 12.

The square root of 12612 is about 112.3031611309. The cubic root of 12612 is about 23.2770525667.

The spelling of 12612 in words is "twelve thousand, six hundred twelve".

Divisors: 1 2 3 4 6 12 1051 2102 3153 4204 6306 12612