Search a number
-
+
12122122081 is a prime number
BaseRepresentation
bin10110100101000100…
…01110011101100001
31011021210220121100111
423102202032131201
5144311230401311
65322511051321
7606253223536
oct132242163541
934253817314
1012122122081
115160692813
122423810b41
1311b2552604
1482dd2ad8d
154ae344d21
hex2d288e761

12122122081 has 2 divisors, whose sum is σ = 12122122082. Its totient is φ = 12122122080.

The previous prime is 12122122049. The next prime is 12122122157. The reversal of 12122122081 is 18022122121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8471545681 + 3650576400 = 92041^2 + 60420^2 .

It is a cyclic number.

It is not a de Polignac number, because 12122122081 - 25 = 12122122049 is a prime.

It is a super-2 number, since 2×121221220812 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12122122681) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6061061040 + 6061061041.

It is an arithmetic number, because the mean of its divisors is an integer number (6061061041).

Almost surely, 212122122081 is an apocalyptic number.

It is an amenable number.

12122122081 is a deficient number, since it is larger than the sum of its proper divisors (1).

12122122081 is an equidigital number, since it uses as much as digits as its factorization.

12122122081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 256, while the sum is 22.

The spelling of 12122122081 in words is "twelve billion, one hundred twenty-two million, one hundred twenty-two thousand, eighty-one".