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12121192611329 is a prime number
BaseRepresentation
bin1011000001100010111101…
…1000010011111000000001
31120220202220202100122110212
42300120233120103320001
53042043200302030304
641440222104203505
72360504311140614
oct260305730237001
946822822318425
1012121192611329
11395362925951a
121439202a69595
1369c03c9b2319
142dc95149017b
1516047795266e
hexb062f613e01

12121192611329 has 2 divisors, whose sum is σ = 12121192611330. Its totient is φ = 12121192611328.

The previous prime is 12121192611317. The next prime is 12121192611431. The reversal of 12121192611329 is 92311629112121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8044750850929 + 4076441760400 = 2836327^2 + 2019020^2 .

It is a cyclic number.

It is not a de Polignac number, because 12121192611329 - 24 = 12121192611313 is a prime.

It is not a weakly prime, because it can be changed into another prime (12121192614329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6060596305664 + 6060596305665.

It is an arithmetic number, because the mean of its divisors is an integer number (6060596305665).

Almost surely, 212121192611329 is an apocalyptic number.

It is an amenable number.

12121192611329 is a deficient number, since it is larger than the sum of its proper divisors (1).

12121192611329 is an equidigital number, since it uses as much as digits as its factorization.

12121192611329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 23328, while the sum is 41.

The spelling of 12121192611329 in words is "twelve trillion, one hundred twenty-one billion, one hundred ninety-two million, six hundred eleven thousand, three hundred twenty-nine".