Search a number
-
+
122123117 is a prime number
BaseRepresentation
bin1110100011101…
…11001101101101
322111210111102102
413101313031231
5222230414432
620041304445
73012013034
oct721671555
9274714372
10122123117
1162a319a6
1234a95125
131c3bb3cc
141230d71b
15aac4962
hex747736d

122123117 has 2 divisors, whose sum is σ = 122123118. Its totient is φ = 122123116.

The previous prime is 122123101. The next prime is 122123119. The reversal of 122123117 is 711321221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96255721 + 25867396 = 9811^2 + 5086^2 .

It is a cyclic number.

It is not a de Polignac number, because 122123117 - 24 = 122123101 is a prime.

Together with 122123119, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122123119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61061558 + 61061559.

It is an arithmetic number, because the mean of its divisors is an integer number (61061559).

Almost surely, 2122123117 is an apocalyptic number.

It is an amenable number.

122123117 is a deficient number, since it is larger than the sum of its proper divisors (1).

122123117 is an equidigital number, since it uses as much as digits as its factorization.

122123117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 168, while the sum is 20.

The square root of 122123117 is about 11050.9328565511. The cubic root of 122123117 is about 496.1343464662.

Adding to 122123117 its reverse (711321221), we get a palindrome (833444338).

The spelling of 122123117 in words is "one hundred twenty-two million, one hundred twenty-three thousand, one hundred seventeen".