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12002201211241 is a prime number
BaseRepresentation
bin1010111010100111101011…
…1100001001000101101001
31120111101210001001012221201
42232221322330021011221
53033121002002224431
641305422441404201
72346062510005003
oct256517274110551
946441701035851
1012002201211241
11390811776144a
12141a134a99661
13690a58756647
142d6ca4093373
1515c3112cb461
hexaea7af09169

12002201211241 has 2 divisors, whose sum is σ = 12002201211242. Its totient is φ = 12002201211240.

The previous prime is 12002201211179. The next prime is 12002201211263. The reversal of 12002201211241 is 14211210220021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6595548512400 + 5406652698841 = 2568180^2 + 2325221^2 .

It is an emirp because it is prime and its reverse (14211210220021) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12002201211241 - 217 = 12002201080169 is a prime.

It is a super-2 number, since 2×120022012112412 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12002201211641) 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, 6001100605620 + 6001100605621.

It is an arithmetic number, because the mean of its divisors is an integer number (6001100605621).

Almost surely, 212002201211241 is an apocalyptic number.

It is an amenable number.

12002201211241 is a deficient number, since it is larger than the sum of its proper divisors (1).

12002201211241 is an equidigital number, since it uses as much as digits as its factorization.

12002201211241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 12002201211241 its reverse (14211210220021), we get a palindrome (26213411431262).

The spelling of 12002201211241 in words is "twelve trillion, two billion, two hundred one million, two hundred eleven thousand, two hundred forty-one".