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12002221210033 is a prime number
BaseRepresentation
bin1010111010100111110000…
…1000011011100110110001
31120111101211102200021010201
42232221330020123212301
53033121022112210113
641305424434155201
72346063142000345
oct256517410334661
946441742607121
1012002221210033
113908127a8087a
12141a13b722b01
13690a5c939352
142d6ca69bb625
1515c312e2bcdd
hexaea7c21b9b1

12002221210033 has 2 divisors, whose sum is σ = 12002221210034. Its totient is φ = 12002221210032.

The previous prime is 12002221210019. The next prime is 12002221210043. The reversal of 12002221210033 is 33001212220021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11843289022464 + 158932187569 = 3441408^2 + 398663^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12002221210033 is a prime.

It is a super-2 number, since 2×120022212100332 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12002221210043) 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, 6001110605016 + 6001110605017.

It is an arithmetic number, because the mean of its divisors is an integer number (6001110605017).

Almost surely, 212002221210033 is an apocalyptic number.

It is an amenable number.

12002221210033 is a deficient number, since it is larger than the sum of its proper divisors (1).

12002221210033 is an equidigital number, since it uses as much as digits as its factorization.

12002221210033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 12002221210033 its reverse (33001212220021), we get a palindrome (45003433430054).

The spelling of 12002221210033 in words is "twelve trillion, two billion, two hundred twenty-one million, two hundred ten thousand, thirty-three".