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12123329 = 17739769
BaseRepresentation
bin101110001111…
…110011000001
3211210221002012
4232033303001
511100421304
61111502305
7205021661
oct56176301
924727065
1012123329
116930489
124087995
13268618a
1418781a1
1510e716e
hexb8fcc1

12123329 has 8 divisors (see below), whose sum is σ = 13013640. Its totient is φ = 11252736.

The previous prime is 12123317. The next prime is 12123341. The reversal of 12123329 is 92332121.

It is an interprime number because it is at equal distance from previous prime (12123317) and next prime (12123341).

It can be written as a sum of positive squares in 4 ways, for example, as 2729104 + 9394225 = 1652^2 + 3065^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12123329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12123359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3644 + ... + 6125.

It is an arithmetic number, because the mean of its divisors is an integer number (1626705).

Almost surely, 212123329 is an apocalyptic number.

It is an amenable number.

12123329 is a deficient number, since it is larger than the sum of its proper divisors (890311).

12123329 is an equidigital number, since it uses as much as digits as its factorization.

12123329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9859.

The product of its digits is 648, while the sum is 23.

The square root of 12123329 is about 3481.8571194120. The cubic root of 12123329 is about 229.7244905239.

The spelling of 12123329 in words is "twelve million, one hundred twenty-three thousand, three hundred twenty-nine".

Divisors: 1 17 73 1241 9769 166073 713137 12123329