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12220101217 is a prime number
BaseRepresentation
bin10110110000101111…
…11111001001100001
31011112122021110110101
423120113333021201
5200011321214332
65340331102401
7611553101152
oct133027771141
934478243411
1012220101217
115200a23a05
1224505a1a01
1311c993932c
1483cd53929
154b7c4aae7
hex2d85ff261

12220101217 has 2 divisors, whose sum is σ = 12220101218. Its totient is φ = 12220101216.

The previous prime is 12220101197. The next prime is 12220101221. The reversal of 12220101217 is 71210102221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8828669521 + 3391431696 = 93961^2 + 58236^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12220101217 is a prime.

It is a super-3 number, since 3×122201012173 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12220101194 and 12220101203.

It is not a weakly prime, because it can be changed into another prime (12220101247) 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, 6110050608 + 6110050609.

It is an arithmetic number, because the mean of its divisors is an integer number (6110050609).

Almost surely, 212220101217 is an apocalyptic number.

It is an amenable number.

12220101217 is a deficient number, since it is larger than the sum of its proper divisors (1).

12220101217 is an equidigital number, since it uses as much as digits as its factorization.

12220101217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 19.

Adding to 12220101217 its reverse (71210102221), we get a palindrome (83430203438).

The spelling of 12220101217 in words is "twelve billion, two hundred twenty million, one hundred one thousand, two hundred seventeen".