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12210212120129 is a prime number
BaseRepresentation
bin1011000110101110100101…
…0110110010011001000001
31121020021200200021020112022
42301223221112302121001
53100023003300321004
641545143301211225
72400105303365342
oct261535126623101
947207620236468
1012210212120129
11398835a471001
121452507400b15
136a755863809a
14302d9807c0c9
15162937ba32be
hexb1ae95b2641

12210212120129 has 2 divisors, whose sum is σ = 12210212120130. Its totient is φ = 12210212120128.

The previous prime is 12210212120089. The next prime is 12210212120131. The reversal of 12210212120129 is 92102121201221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9643881811600 + 2566330308529 = 3105460^2 + 1601977^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12210212120129 is a prime.

Together with 12210212120131, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 12210212120098 and 12210212120107.

It is not a weakly prime, because it can be changed into another prime (12210212120179) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6105106060064 + 6105106060065.

It is an arithmetic number, because the mean of its divisors is an integer number (6105106060065).

Almost surely, 212210212120129 is an apocalyptic number.

It is an amenable number.

12210212120129 is a deficient number, since it is larger than the sum of its proper divisors (1).

12210212120129 is an equidigital number, since it uses as much as digits as its factorization.

12210212120129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 26.

The spelling of 12210212120129 in words is "twelve trillion, two hundred ten billion, two hundred twelve million, one hundred twenty thousand, one hundred twenty-nine".