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12201000000281 is a prime number
BaseRepresentation
bin1011000110001100010001…
…0001010101101100011001
31121012101220200001001210022
42301203010101111230121
53044400122000002111
641541021221400225
72366331103561151
oct261430421255431
947171820031708
1012201000000281
11398446246a014
121450776269075
136a671ac490b1
1430276280b761
151625990762db
hexb18c4455b19

12201000000281 has 2 divisors, whose sum is σ = 12201000000282. Its totient is φ = 12201000000280.

The previous prime is 12201000000179. The next prime is 12201000000313. The reversal of 12201000000281 is 18200000010221.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8192996000281 + 4008004000000 = 2862341^2 + 2002000^2 .

It is a cyclic number.

It is not a de Polignac number, because 12201000000281 - 214 = 12200999983897 is a prime.

It is a super-2 number, since 2×122010000002812 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12201000002281) 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, 6100500000140 + 6100500000141.

It is an arithmetic number, because the mean of its divisors is an integer number (6100500000141).

Almost surely, 212201000000281 is an apocalyptic number.

It is an amenable number.

12201000000281 is a deficient number, since it is larger than the sum of its proper divisors (1).

12201000000281 is an equidigital number, since it uses as much as digits as its factorization.

12201000000281 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

The spelling of 12201000000281 in words is "twelve trillion, two hundred one billion, two hundred eighty-one", and thus it is an aban number.