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12200221261 is a prime number
BaseRepresentation
bin10110101110011000…
…01001101001001101
31011111020212110021201
423113030021221031
5144441224040021
65334341025501
7611222112124
oct132714115115
934436773251
1012200221261
1151a0785898
1224459b5291
1311c5798747
1483a45aabb
154b6120591
hex2d7309a4d

12200221261 has 2 divisors, whose sum is σ = 12200221262. Its totient is φ = 12200221260.

The previous prime is 12200221237. The next prime is 12200221283. The reversal of 12200221261 is 16212200221.

12200221261 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11914814025 + 285407236 = 109155^2 + 16894^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12200221261 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12200221291) 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, 6100110630 + 6100110631.

It is an arithmetic number, because the mean of its divisors is an integer number (6100110631).

Almost surely, 212200221261 is an apocalyptic number.

It is an amenable number.

12200221261 is a deficient number, since it is larger than the sum of its proper divisors (1).

12200221261 is an equidigital number, since it uses as much as digits as its factorization.

12200221261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 12200221261 its reverse (16212200221), we get a palindrome (28412421482).

The spelling of 12200221261 in words is "twelve billion, two hundred million, two hundred twenty-one thousand, two hundred sixty-one".