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12049 is a prime number
BaseRepresentation
bin10111100010001
3121112021
42330101
5341144
6131441
750062
oct27421
917467
1012049
119064
126b81
13563b
144569
153884
hex2f11

12049 has 2 divisors, whose sum is σ = 12050. Its totient is φ = 12048.

The previous prime is 12043. The next prime is 12071. The reversal of 12049 is 94021.

12049 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11025 + 1024 = 105^2 + 32^2 .

It is a cyclic number.

It is not a de Polignac number, because 12049 - 23 = 12041 is a prime.

12049 is a lucky number.

It is a plaindrome in base 14.

It is not a weakly prime, because it can be changed into another prime (12041) 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 as a sum of consecutive naturals, namely, 6024 + 6025.

It is an arithmetic number, because the mean of its divisors is an integer number (6025).

212049 is an apocalyptic number.

It is an amenable number.

12049 is a deficient number, since it is larger than the sum of its proper divisors (1).

12049 is an equidigital number, since it uses as much as digits as its factorization.

12049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 12049 is about 109.7679370308. The cubic root of 12049 is about 22.9254041980.

Adding to 12049 its product of nonzero digits (72), we get a palindrome (12121).

It can be divided in two parts, 120 and 49, that added together give a square (169 = 132).

The spelling of 12049 in words is "twelve thousand, forty-nine".