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12011111111081 is a prime number
BaseRepresentation
bin1010111011001000111000…
…0000101101100110101001
31120112020202222121000210002
42232302032000231212221
53033242223421023311
641313454523432345
72346526346625245
oct256621600554651
946466688530702
1012011111111081
11391097a103035
12141ba009856b5
1369184864b224
142d74ab533425
1515c68360b93b
hexaec8e02d9a9

12011111111081 has 2 divisors, whose sum is σ = 12011111111082. Its totient is φ = 12011111111080.

The previous prime is 12011111111047. The next prime is 12011111111137. The reversal of 12011111111081 is 18011111111021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10508748558400 + 1502362552681 = 3241720^2 + 1225709^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12011111111081 is a prime.

It is a super-3 number, since 3×120111111110813 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (12011111117081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6005555555540 + 6005555555541.

It is an arithmetic number, because the mean of its divisors is an integer number (6005555555541).

Almost surely, 212011111111081 is an apocalyptic number.

It is an amenable number.

12011111111081 is a deficient number, since it is larger than the sum of its proper divisors (1).

12011111111081 is an equidigital number, since it uses as much as digits as its factorization.

12011111111081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 20.

The spelling of 12011111111081 in words is "twelve trillion, eleven billion, one hundred eleven million, one hundred eleven thousand, eighty-one".