Search a number
-
+
12211201022057 is a prime number
BaseRepresentation
bin1011000110110010010001…
…0011001001100001101001
31121020101020121001122221122
42301230210103021201221
53100032014430201212
641545425344545025
72400141642044342
oct261544423114151
947211217048848
1012211201022057
1139888176a4724
121452742622175
136a768548a95b
1430304d53b0c9
151629948e1272
hexb1b244c9869

12211201022057 has 2 divisors, whose sum is σ = 12211201022058. Its totient is φ = 12211201022056.

The previous prime is 12211201022051. The next prime is 12211201022149. The reversal of 12211201022057 is 75022010211221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8554753372201 + 3656447649856 = 2924851^2 + 1912184^2 .

It is a cyclic number.

It is not a de Polignac number, because 12211201022057 - 26 = 12211201021993 is a prime.

It is a super-2 number, since 2×122112010220572 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12211201022051) 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, 6105600511028 + 6105600511029.

It is an arithmetic number, because the mean of its divisors is an integer number (6105600511029).

Almost surely, 212211201022057 is an apocalyptic number.

It is an amenable number.

12211201022057 is a deficient number, since it is larger than the sum of its proper divisors (1).

12211201022057 is an equidigital number, since it uses as much as digits as its factorization.

12211201022057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1120, while the sum is 26.

Adding to 12211201022057 its reverse (75022010211221), we get a palindrome (87233211233278).

The spelling of 12211201022057 in words is "twelve trillion, two hundred eleven billion, two hundred one million, twenty-two thousand, fifty-seven".