Search a number
-
+
121222100249 is a prime number
BaseRepresentation
bin111000011100101100…
…1100111010100011001
3102120220011202201212122
41300321121213110121
53441230324201444
6131404430151025
711520665564615
oct1607131472431
9376804681778
10121222100249
1147456796128
121b5b1052475
13b57b448c03
145c1d78a345
1532474094ee
hex1c39667519

121222100249 has 2 divisors, whose sum is σ = 121222100250. Its totient is φ = 121222100248.

The previous prime is 121222100221. The next prime is 121222100257. The reversal of 121222100249 is 942001222121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67648368649 + 53573731600 = 260093^2 + 231460^2 .

It is a cyclic number.

It is not a de Polignac number, because 121222100249 - 28 = 121222099993 is a prime.

It is not a weakly prime, because it can be changed into another prime (121222106249) 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, 60611050124 + 60611050125.

It is an arithmetic number, because the mean of its divisors is an integer number (60611050125).

Almost surely, 2121222100249 is an apocalyptic number.

It is an amenable number.

121222100249 is a deficient number, since it is larger than the sum of its proper divisors (1).

121222100249 is an equidigital number, since it uses as much as digits as its factorization.

121222100249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 121222100249 in words is "one hundred twenty-one billion, two hundred twenty-two million, one hundred thousand, two hundred forty-nine".