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12247129 is a prime number
BaseRepresentation
bin101110101110…
…000001011001
3212001012220101
4232232001121
511113402004
61114255401
7206045626
oct56560131
925035811
1012247129
116a054a4
124127561
1326ca62b
1418ab34d
15111dba4
hexbae059

12247129 has 2 divisors, whose sum is σ = 12247130. Its totient is φ = 12247128.

The previous prime is 12247117. The next prime is 12247141. The reversal of 12247129 is 92174221.

12247129 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (12247117) and next prime (12247141).

It can be written as a sum of positive squares in only one way, i.e., 6734025 + 5513104 = 2595^2 + 2348^2 .

It is a cyclic number.

It is not a de Polignac number, because 12247129 - 25 = 12247097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12247097 and 12247106.

It is not a weakly prime, because it can be changed into another prime (12247199) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6123564 + 6123565.

It is an arithmetic number, because the mean of its divisors is an integer number (6123565).

Almost surely, 212247129 is an apocalyptic number.

It is an amenable number.

12247129 is a deficient number, since it is larger than the sum of its proper divisors (1).

12247129 is an equidigital number, since it uses as much as digits as its factorization.

12247129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2016, while the sum is 28.

The square root of 12247129 is about 3499.5898331090. The cubic root of 12247129 is about 230.5038042671.

It can be divided in two parts, 122471 and 29, that added together give a square (122500 = 3502).

The spelling of 12247129 in words is "twelve million, two hundred forty-seven thousand, one hundred twenty-nine".