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12200111122201 is a prime number
BaseRepresentation
bin1011000110001000111101…
…0010100010011100011001
31121012022121201110101021221
42301202033102202130121
53044341311421402301
641540353105532041
72366300061333652
oct261421722423431
947168551411257
1012200111122201
113984046743832
121450568644021
136a6608a47b32
143026ba748529
15162545ee4da1
hexb188f4a2719

12200111122201 has 2 divisors, whose sum is σ = 12200111122202. Its totient is φ = 12200111122200.

The previous prime is 12200111122181. The next prime is 12200111122211. The reversal of 12200111122201 is 10222111100221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11258675606025 + 941435516176 = 3355395^2 + 970276^2 .

It is an emirp because it is prime and its reverse (10222111100221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12200111122201 - 25 = 12200111122169 is a prime.

It is a super-2 number, since 2×122001111222012 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12200111122211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6100055561100 + 6100055561101.

It is an arithmetic number, because the mean of its divisors is an integer number (6100055561101).

Almost surely, 212200111122201 is an apocalyptic number.

It is an amenable number.

12200111122201 is a deficient number, since it is larger than the sum of its proper divisors (1).

12200111122201 is an equidigital number, since it uses as much as digits as its factorization.

12200111122201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12200111122201 its reverse (10222111100221), we get a palindrome (22422222222422).

The spelling of 12200111122201 in words is "twelve trillion, two hundred billion, one hundred eleven million, one hundred twenty-two thousand, two hundred one".