Search a number
-
+
12021122081 is a prime number
BaseRepresentation
bin10110011001000001…
…11100010000100001
31011000202212021101202
423030200330100201
5144104401401311
65304502210545
7603615565103
oct131440742041
934022767352
1012021122081
115109678a41
1223b5a23a55
13119764b8b7
14820759573
154a5543e3b
hex2cc83c421

12021122081 has 2 divisors, whose sum is σ = 12021122082. Its totient is φ = 12021122080.

The previous prime is 12021122039. The next prime is 12021122117. The reversal of 12021122081 is 18022112021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7707259681 + 4313862400 = 87791^2 + 65680^2 .

It is a cyclic number.

It is not a de Polignac number, because 12021122081 - 214 = 12021105697 is a prime.

It is a super-2 number, since 2×120211220812 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12024122081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6010561040 + 6010561041.

It is an arithmetic number, because the mean of its divisors is an integer number (6010561041).

Almost surely, 212021122081 is an apocalyptic number.

It is an amenable number.

12021122081 is a deficient number, since it is larger than the sum of its proper divisors (1).

12021122081 is an equidigital number, since it uses as much as digits as its factorization.

12021122081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 20.

The spelling of 12021122081 in words is "twelve billion, twenty-one million, one hundred twenty-two thousand, eighty-one".