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12011122202161 is a prime number
BaseRepresentation
bin1010111011001000111010…
…1011000001011000110001
31120112020210202110111212211
42232302032223001120301
53033242234240432121
641313500001252121
72346526543120615
oct256621653013061
946466722414784
1012011122202161
113910985398a15
12141ba04634041
1369184aa325b4
142d74acbbd345
1515c68459cce1
hexaec8eac1631

12011122202161 has 2 divisors, whose sum is σ = 12011122202162. Its totient is φ = 12011122202160.

The previous prime is 12011122202137. The next prime is 12011122202237. The reversal of 12011122202161 is 16120222111021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8442162691600 + 3568959510561 = 2905540^2 + 1889169^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12011122202161 is a prime.

It is a super-3 number, since 3×120111222021613 (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (12011122209161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6005561101080 + 6005561101081.

It is an arithmetic number, because the mean of its divisors is an integer number (6005561101081).

Almost surely, 212011122202161 is an apocalyptic number.

It is an amenable number.

12011122202161 is a deficient number, since it is larger than the sum of its proper divisors (1).

12011122202161 is an equidigital number, since it uses as much as digits as its factorization.

12011122202161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 22.

Adding to 12011122202161 its reverse (16120222111021), we get a palindrome (28131344313182).

The spelling of 12011122202161 in words is "twelve trillion, eleven billion, one hundred twenty-two million, two hundred two thousand, one hundred sixty-one".