Search a number
-
+
12212002221017 is a prime number
BaseRepresentation
bin1011000110110101010000…
…0011011110101111011001
31121020110022102122210022012
42301231110003132233121
53100040140032033032
641550041045235305
72400200541113354
oct261552403365731
947213272583265
1012212002221017
113989098984325
121452926a02b35
136a7782470491
143030c7ad929b
151629dee036b2
hexb1b540debd9

12212002221017 has 2 divisors, whose sum is σ = 12212002221018. Its totient is φ = 12212002221016.

The previous prime is 12212002220963. The next prime is 12212002221037. The reversal of 12212002221017 is 71012220021221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11000558590681 + 1211443630336 = 3316709^2 + 1100656^2 .

It is a cyclic number.

It is not a de Polignac number, because 12212002221017 - 216 = 12212002155481 is a prime.

It is a super-2 number, since 2×122120022210172 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12212002220983 and 12212002221001.

It is not a weakly prime, because it can be changed into another prime (12212002221037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6106001110508 + 6106001110509.

It is an arithmetic number, because the mean of its divisors is an integer number (6106001110509).

Almost surely, 212212002221017 is an apocalyptic number.

It is an amenable number.

12212002221017 is a deficient number, since it is larger than the sum of its proper divisors (1).

12212002221017 is an equidigital number, since it uses as much as digits as its factorization.

12212002221017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 448, while the sum is 23.

Adding to 12212002221017 its reverse (71012220021221), we get a palindrome (83224222242238).

The spelling of 12212002221017 in words is "twelve trillion, two hundred twelve billion, two million, two hundred twenty-one thousand, seventeen".