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12207188321 is a prime number
BaseRepresentation
bin10110101111001101…
…01110100101100001
31011111201222102021222
423113212232211201
5200000020011241
65335150224425
7611335250216
oct132746564541
934451872258
1012207188321
1151a4704299
1224481b5115
1311c7067973
1483b351b0d
154b6a49a4b
hex2d79ae961

12207188321 has 2 divisors, whose sum is σ = 12207188322. Its totient is φ = 12207188320.

The previous prime is 12207188297. The next prime is 12207188327. The reversal of 12207188321 is 12388170221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10894140625 + 1313047696 = 104375^2 + 36236^2 .

It is a cyclic number.

It is not a de Polignac number, because 12207188321 - 214 = 12207171937 is a prime.

It is not a weakly prime, because it can be changed into another prime (12207188327) 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, 6103594160 + 6103594161.

It is an arithmetic number, because the mean of its divisors is an integer number (6103594161).

Almost surely, 212207188321 is an apocalyptic number.

It is an amenable number.

12207188321 is a deficient number, since it is larger than the sum of its proper divisors (1).

12207188321 is an equidigital number, since it uses as much as digits as its factorization.

12207188321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10752, while the sum is 35.

The spelling of 12207188321 in words is "twelve billion, two hundred seven million, one hundred eighty-eight thousand, three hundred twenty-one".