Search a number
-
+
122122212029 is a prime number
BaseRepresentation
bin111000110111100001…
…1010001001010111101
3102200012220111011002222
41301233003101022331
54000101241241104
6132034022455125
711552205450326
oct1615703211275
9380186434088
10122122212029
1147878894464
121b8025944a5
13b692a8142c
145ca713544d
15329b4591be
hex1c6f0d12bd

122122212029 has 2 divisors, whose sum is σ = 122122212030. Its totient is φ = 122122212028.

The previous prime is 122122211899. The next prime is 122122212071. The reversal of 122122212029 is 920212221221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105125092900 + 16997119129 = 324230^2 + 130373^2 .

It is a cyclic number.

It is not a de Polignac number, because 122122212029 - 28 = 122122211773 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122122211989 and 122122212007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122122212529) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61061106014 + 61061106015.

It is an arithmetic number, because the mean of its divisors is an integer number (61061106015).

Almost surely, 2122122212029 is an apocalyptic number.

It is an amenable number.

122122212029 is a deficient number, since it is larger than the sum of its proper divisors (1).

122122212029 is an equidigital number, since it uses as much as digits as its factorization.

122122212029 is an evil number, because the sum of its binary digits is even.

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

The spelling of 122122212029 in words is "one hundred twenty-two billion, one hundred twenty-two million, two hundred twelve thousand, twenty-nine".