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12212002212281 is a prime number
BaseRepresentation
bin1011000110110101010000…
…0011011100100110111001
31121020110022102122100022122
42301231110003130212321
53100040140031243111
641550041045131025
72400200541046034
oct261552403344671
947213272570278
1012212002212281
113989098978803
1214529269b9a75
136a7782469501
143030c7ad601b
151629dee00cdb
hexb1b540dc9b9

12212002212281 has 2 divisors, whose sum is σ = 12212002212282. Its totient is φ = 12212002212280.

The previous prime is 12212002212233. The next prime is 12212002212283. The reversal of 12212002212281 is 18221220021221.

12212002212281 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., 11138799450256 + 1073202762025 = 3337484^2 + 1035955^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12212002212281 is a prime.

It is a super-2 number, since 2×122120022122812 (a number of 27 digits) contains 22 as substring.

Together with 12212002212283, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12212002212281.

It is not a weakly prime, because it can be changed into another prime (12212002212283) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6106001106140 + 6106001106141.

It is an arithmetic number, because the mean of its divisors is an integer number (6106001106141).

Almost surely, 212212002212281 is an apocalyptic number.

It is an amenable number.

12212002212281 is a deficient number, since it is larger than the sum of its proper divisors (1).

12212002212281 is an equidigital number, since it uses as much as digits as its factorization.

12212002212281 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1024, while the sum is 26.

The spelling of 12212002212281 in words is "twelve trillion, two hundred twelve billion, two million, two hundred twelve thousand, two hundred eighty-one".