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12128257 is a prime number
BaseRepresentation
bin101110010001…
…000000000001
3211211011211201
4232101000001
511101101012
61111541201
7205042231
oct56210001
924734751
1012128257
116934159
12408a801
1326884ab
141879cc1
1510e8857
hexb91001

12128257 has 2 divisors, whose sum is σ = 12128258. Its totient is φ = 12128256.

The previous prime is 12128243. The next prime is 12128261. The reversal of 12128257 is 75282121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7929856 + 4198401 = 2816^2 + 2049^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12128257 is a prime.

It is not a weakly prime, because it can be changed into another prime (12128227) 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, 6064128 + 6064129.

It is an arithmetic number, because the mean of its divisors is an integer number (6064129).

It is a Proth number, since it is equal to 2961 ⋅ 212 + 1 and 2961 < 212.

Almost surely, 212128257 is an apocalyptic number.

It is an amenable number.

12128257 is a deficient number, since it is larger than the sum of its proper divisors (1).

12128257 is an equidigital number, since it uses as much as digits as its factorization.

12128257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2240, while the sum is 28.

The square root of 12128257 is about 3482.5647158380. The cubic root of 12128257 is about 229.7556131341.

The spelling of 12128257 in words is "twelve million, one hundred twenty-eight thousand, two hundred fifty-seven".