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12220321177 is a prime number
BaseRepresentation
bin10110110000110001…
…10100110110011001
31011112122200122012001
423120120310312121
5200011400234202
65340335521001
7611555005351
oct133030646631
934478618161
1012220321177
115201064199
122450689161
1311c99b549c
1483cdadb61
154b7c90d87
hex2d8634d99

12220321177 has 2 divisors, whose sum is σ = 12220321178. Its totient is φ = 12220321176.

The previous prime is 12220321159. The next prime is 12220321279. The reversal of 12220321177 is 77112302221.

12220321177 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10609824016 + 1610497161 = 103004^2 + 40131^2 .

It is a cyclic number.

It is not a de Polignac number, because 12220321177 - 223 = 12211932569 is a prime.

It is not a weakly prime, because it can be changed into another prime (12220321147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6110160588 + 6110160589.

It is an arithmetic number, because the mean of its divisors is an integer number (6110160589).

Almost surely, 212220321177 is an apocalyptic number.

It is an amenable number.

12220321177 is a deficient number, since it is larger than the sum of its proper divisors (1).

12220321177 is an equidigital number, since it uses as much as digits as its factorization.

12220321177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2352, while the sum is 28.

Adding to 12220321177 its reverse (77112302221), we get a palindrome (89332623398).

It can be divided in two parts, 122203 and 21177, that added together give a triangular number (143380 = T535).

The spelling of 12220321177 in words is "twelve billion, two hundred twenty million, three hundred twenty-one thousand, one hundred seventy-seven".