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123121217 is a prime number
BaseRepresentation
bin1110101011010…
…10111001000001
322120200012120002
413111222321001
5223004334332
620114525345
73023340662
oct725527101
9276605502
10123121217
116355387a
1235296855
131c67a7bb
14124cd369
15ac20562
hex756ae41

123121217 has 2 divisors, whose sum is σ = 123121218. Its totient is φ = 123121216.

The previous prime is 123121189. The next prime is 123121249. The reversal of 123121217 is 712121321.

It is a Cunningham number, because it is equal to 110962+1.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 123121216 + 1 = 11096^2 + 1^2 .

It is a cyclic number.

It is not a de Polignac number, because 123121217 - 214 = 123104833 is a prime.

It is a super-2 number, since 2×1231212172 = 30317668151122178, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (123121417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61560608 + 61560609.

It is an arithmetic number, because the mean of its divisors is an integer number (61560609).

Almost surely, 2123121217 is an apocalyptic number.

It is an amenable number.

123121217 is a deficient number, since it is larger than the sum of its proper divisors (1).

123121217 is an equidigital number, since it uses as much as digits as its factorization.

123121217 is an evil number, because the sum of its binary digits is even.

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

The square root of 123121217 is about 11096.0000450613. Note that the first 4 decimals coincide. The cubic root of 123121217 is about 497.4822996489.

Adding to 123121217 its reverse (712121321), we get a palindrome (835242538).

The spelling of 123121217 in words is "one hundred twenty-three million, one hundred twenty-one thousand, two hundred seventeen".