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122117 is a prime number
BaseRepresentation
bin11101110100000101
320012111212
4131310011
512401432
62341205
71016012
oct356405
9205455
10122117
1183826
125a805
1343778
1432709
15262b2
hex1dd05

122117 has 2 divisors, whose sum is σ = 122118. Its totient is φ = 122116.

The previous prime is 122099. The next prime is 122131. The reversal of 122117 is 711221.

It is an a-pointer prime, because the next prime (122131) can be obtained adding 122117 to its sum of digits (14).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 119716 + 2401 = 346^2 + 49^2 .

It is a cyclic number.

It is not a de Polignac number, because 122117 - 26 = 122053 is a prime.

It is a Chen prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 122117.

It is not a weakly prime, because it can be changed into another prime (122147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61058 + 61059.

It is an arithmetic number, because the mean of its divisors is an integer number (61059).

2122117 is an apocalyptic number.

It is an amenable number.

122117 is a deficient number, since it is larger than the sum of its proper divisors (1).

122117 is an equidigital number, since it uses as much as digits as its factorization.

122117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 28, while the sum is 14.

The square root of 122117 is about 349.4524288083. The cubic root of 122117 is about 49.6126062737.

Adding to 122117 its reverse (711221), we get a palindrome (833338).

The spelling of 122117 in words is "one hundred twenty-two thousand, one hundred seventeen", and thus it is an iban number.