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12140129 is a prime number
BaseRepresentation
bin101110010011…
…111001100001
3211211210010102
4232103321201
511101441004
61112112145
7205121651
oct56237141
924753112
1012140129
116942071
124095655
132690a11
141880361
1510ec11e
hexb93e61

12140129 has 2 divisors, whose sum is σ = 12140130. Its totient is φ = 12140128.

The previous prime is 12140123. The next prime is 12140131. The reversal of 12140129 is 92104121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12061729 + 78400 = 3473^2 + 280^2 .

It is a cyclic number.

It is not a de Polignac number, because 12140129 - 28 = 12139873 is a prime.

Together with 12140131, it forms a pair of twin primes.

It is a Chen prime.

It is a pancake number, because a pancake can be divided into 12140129 parts by 4927 straight cuts.

It is a self number, because there is not a number n which added to its sum of digits gives 12140129.

It is not a weakly prime, because it can be changed into another prime (12140123) 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 as a sum of consecutive naturals, namely, 6070064 + 6070065.

It is an arithmetic number, because the mean of its divisors is an integer number (6070065).

Almost surely, 212140129 is an apocalyptic number.

It is an amenable number.

12140129 is a deficient number, since it is larger than the sum of its proper divisors (1).

12140129 is an equidigital number, since it uses as much as digits as its factorization.

12140129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 12140129 is about 3484.2687898611. The cubic root of 12140129 is about 229.8305557279.

The spelling of 12140129 in words is "twelve million, one hundred forty thousand, one hundred twenty-nine".