Search a number
-
+
12121111012169 is a prime number
BaseRepresentation
bin1011000001100010101010…
…0001000010001101001001
31120220202201001210222110202
42300120222201002031021
53042043013404342134
641440210031221545
72360502300434315
oct260305241021511
946822631728422
1012121111012169
1139535971958a5
12143919b6778b5
1369c028b120b3
142dc9446ccb45
151604706d4d7e
hexb062a842349

12121111012169 has 2 divisors, whose sum is σ = 12121111012170. Its totient is φ = 12121111012168.

The previous prime is 12121111012123. The next prime is 12121111012177. The reversal of 12121111012169 is 96121011112121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12052145424400 + 68965587769 = 3471620^2 + 262613^2 .

It is a cyclic number.

It is not a de Polignac number, because 12121111012169 - 236 = 12052391535433 is a prime.

It is a super-2 number, since 2×121211110121692 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12121111012069) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6060555506084 + 6060555506085.

It is an arithmetic number, because the mean of its divisors is an integer number (6060555506085).

Almost surely, 212121111012169 is an apocalyptic number.

It is an amenable number.

12121111012169 is a deficient number, since it is larger than the sum of its proper divisors (1).

12121111012169 is an equidigital number, since it uses as much as digits as its factorization.

12121111012169 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 29.

The spelling of 12121111012169 in words is "twelve trillion, one hundred twenty-one billion, one hundred eleven million, twelve thousand, one hundred sixty-nine".