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12220122009167 is a prime number
BaseRepresentation
bin1011000111010011100000…
…0010000000111001001111
31121021020021022110202122122
42301310320002000321033
53100203302213243132
641553502504403155
72400606005143202
oct261647002007117
947236238422578
1012220122009167
113991585329346
1214544121764bb
136a8477764c57
14303658265939
15162d17bb1912
hexb1d38080e4f

12220122009167 has 2 divisors, whose sum is σ = 12220122009168. Its totient is φ = 12220122009166.

The previous prime is 12220122009131. The next prime is 12220122009203. The reversal of 12220122009167 is 76190022102221.

It is a balanced prime because it is at equal distance from previous prime (12220122009131) and next prime (12220122009203).

It is a cyclic number.

It is not a de Polignac number, because 12220122009167 - 28 = 12220122008911 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12220122009967) 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, 6110061004583 + 6110061004584.

It is an arithmetic number, because the mean of its divisors is an integer number (6110061004584).

Almost surely, 212220122009167 is an apocalyptic number.

12220122009167 is a deficient number, since it is larger than the sum of its proper divisors (1).

12220122009167 is an equidigital number, since it uses as much as digits as its factorization.

12220122009167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 35.

The spelling of 12220122009167 in words is "twelve trillion, two hundred twenty billion, one hundred twenty-two million, nine thousand, one hundred sixty-seven".