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12121322329 is a prime number
BaseRepresentation
bin10110100100111110…
…01011001101011001
31011021202101222022001
423102133023031121
5144311024303304
65322442001001
7606243353104
oct132237131531
934252358261
1012121322329
115160196966
1224234a6161
1311b233259c
1482db9d73b
154ae237da4
hex2d27cb359

12121322329 has 2 divisors, whose sum is σ = 12121322330. Its totient is φ = 12121322328.

The previous prime is 12121322321. The next prime is 12121322333. The reversal of 12121322329 is 92322312121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10722188304 + 1399134025 = 103548^2 + 37405^2 .

It is a cyclic number.

It is not a de Polignac number, because 12121322329 - 23 = 12121322321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12121322297 and 12121322306.

It is not a weakly prime, because it can be changed into another prime (12121322321) 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, 6060661164 + 6060661165.

It is an arithmetic number, because the mean of its divisors is an integer number (6060661165).

Almost surely, 212121322329 is an apocalyptic number.

It is an amenable number.

12121322329 is a deficient number, since it is larger than the sum of its proper divisors (1).

12121322329 is an equidigital number, since it uses as much as digits as its factorization.

12121322329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2592, while the sum is 28.

It can be divided in two parts, 1212132 and 2329, that added together give a triangular number (1214461 = T1558).

The spelling of 12121322329 in words is "twelve billion, one hundred twenty-one million, three hundred twenty-two thousand, three hundred twenty-nine".