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12201229961 is a prime number
BaseRepresentation
bin10110101110011111…
…11111111010001001
31011111022202200221222
423113033333322021
5144442003324321
65334414411425
7611233513004
oct132717777211
934438680858
1012201229961
1151a1304728
122446200b75
1311c5a5c8cb
1483a64053b
154b626e3ab
hex2d73ffe89

12201229961 has 2 divisors, whose sum is σ = 12201229962. Its totient is φ = 12201229960.

The previous prime is 12201229949. The next prime is 12201230039. The reversal of 12201229961 is 16992210221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7321369225 + 4879860736 = 85565^2 + 69856^2 .

It is a cyclic number.

It is not a de Polignac number, because 12201229961 - 210 = 12201228937 is a prime.

It is a super-4 number, since 4×122012299614 (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (12201229361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6100614980 + 6100614981.

It is an arithmetic number, because the mean of its divisors is an integer number (6100614981).

Almost surely, 212201229961 is an apocalyptic number.

It is an amenable number.

12201229961 is a deficient number, since it is larger than the sum of its proper divisors (1).

12201229961 is an equidigital number, since it uses as much as digits as its factorization.

12201229961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 35.

The spelling of 12201229961 in words is "twelve billion, two hundred one million, two hundred twenty-nine thousand, nine hundred sixty-one".