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12221032181 is a prime number
BaseRepresentation
bin10110110000110111…
…00010011011110101
31011112201000202111112
423120123202123311
5200012041012211
65340403044405
7611564026301
oct133033423365
934481022445
1012221032181
1152014aa3a6
122450970705
1311c9ba3cb7
1483d116d01
154b7d8188b
hex2d86e26f5

12221032181 has 2 divisors, whose sum is σ = 12221032182. Its totient is φ = 12221032180.

The previous prime is 12221032171. The next prime is 12221032183. The reversal of 12221032181 is 18123012221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10117342225 + 2103689956 = 100585^2 + 45866^2 .

It is a cyclic number.

It is not a de Polignac number, because 12221032181 - 226 = 12153923317 is a prime.

It is a super-2 number, since 2×122210321812 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 12221032183, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12221032183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6110516090 + 6110516091.

It is an arithmetic number, because the mean of its divisors is an integer number (6110516091).

Almost surely, 212221032181 is an apocalyptic number.

It is an amenable number.

12221032181 is a deficient number, since it is larger than the sum of its proper divisors (1).

12221032181 is an equidigital number, since it uses as much as digits as its factorization.

12221032181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 23.

The spelling of 12221032181 in words is "twelve billion, two hundred twenty-one million, thirty-two thousand, one hundred eighty-one".