Search a number
-
+
12221122102141 is a prime number
BaseRepresentation
bin1011000111010111001110…
…1001000100001101111101
31121021022212000022202022011
42301311303221010031331
53100212324224232031
641554150032051221
72400642540612151
oct261656351041575
947238760282264
1012221122102141
113991a48905a67
121454651093b11
136a85a6a05544
14303710dd9061
15162d758b06b1
hexb1d73a4437d

12221122102141 has 2 divisors, whose sum is σ = 12221122102142. Its totient is φ = 12221122102140.

The previous prime is 12221122102129. The next prime is 12221122102237. The reversal of 12221122102141 is 14120122112221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11747440922116 + 473681180025 = 3427454^2 + 688245^2 .

It is a cyclic number.

It is not a de Polignac number, because 12221122102141 - 213 = 12221122093949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12221122102741) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6110561051070 + 6110561051071.

It is an arithmetic number, because the mean of its divisors is an integer number (6110561051071).

Almost surely, 212221122102141 is an apocalyptic number.

It is an amenable number.

12221122102141 is a deficient number, since it is larger than the sum of its proper divisors (1).

12221122102141 is an equidigital number, since it uses as much as digits as its factorization.

12221122102141 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.

Adding to 12221122102141 its reverse (14120122112221), we get a palindrome (26341244214362).

The spelling of 12221122102141 in words is "twelve trillion, two hundred twenty-one billion, one hundred twenty-two million, one hundred two thousand, one hundred forty-one".