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12221220112081 is a prime number
BaseRepresentation
bin1011000111010111100101…
…1110111100011011010001
31121021100002211202011122221
42301311321132330123101
53100213024322041311
641554203452501041
72400645140645341
oct261657136743321
947240084664587
1012221220112081
113991a99168312
121454679a7a781
136a85c11002a6
1430372002cd21
15162d7e2c0671
hexb1d797bc6d1

12221220112081 has 2 divisors, whose sum is σ = 12221220112082. Its totient is φ = 12221220112080.

The previous prime is 12221220112063. The next prime is 12221220112091. The reversal of 12221220112081 is 18021102212221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12194350345681 + 26869766400 = 3492041^2 + 163920^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12221220112081 is a prime.

It is a super-2 number, since 2×122212201120812 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12221220112091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6110610056040 + 6110610056041.

It is an arithmetic number, because the mean of its divisors is an integer number (6110610056041).

Almost surely, 212221220112081 is an apocalyptic number.

It is an amenable number.

12221220112081 is a deficient number, since it is larger than the sum of its proper divisors (1).

12221220112081 is an equidigital number, since it uses as much as digits as its factorization.

12221220112081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 512, while the sum is 25.

The spelling of 12221220112081 in words is "twelve trillion, two hundred twenty-one billion, two hundred twenty million, one hundred twelve thousand, eighty-one".