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12200111112221 is a prime number
BaseRepresentation
bin1011000110001000111101…
…0010100000000000011101
31121012022121201102212121022
42301202033102200000131
53044341311421042341
641540353105413525
72366300061262604
oct261421722400035
947168551385538
1012200111112221
11398404673728a
12145056863a2a5
136a6608a43426
143026ba744a3b
15162545ee1e4b
hexb188f4a001d

12200111112221 has 2 divisors, whose sum is σ = 12200111112222. Its totient is φ = 12200111112220.

The previous prime is 12200111112197. The next prime is 12200111112313. The reversal of 12200111112221 is 12221111100221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10307117620900 + 1892993491321 = 3210470^2 + 1375861^2 .

It is an emirp because it is prime and its reverse (12221111100221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12200111112221 - 218 = 12200110850077 is a prime.

It is a super-2 number, since 2×122001111122212 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12200111112221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12200111112421) 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, 6100055556110 + 6100055556111.

It is an arithmetic number, because the mean of its divisors is an integer number (6100055556111).

Almost surely, 212200111112221 is an apocalyptic number.

It is an amenable number.

12200111112221 is a deficient number, since it is larger than the sum of its proper divisors (1).

12200111112221 is an equidigital number, since it uses as much as digits as its factorization.

12200111112221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 12200111112221 its reverse (12221111100221), we get a palindrome (24421222212442).

The spelling of 12200111112221 in words is "twelve trillion, two hundred billion, one hundred eleven million, one hundred twelve thousand, two hundred twenty-one".