Search a number
-
+
122212021211617 is a prime number
BaseRepresentation
bin11011110010011010110100…
…000111001001000111100001
3121000201100120212221101121211
4123302122310013021013201
5112004310204412232432
61111531232200150121
734512345546226351
oct3362326407110741
9530640525841554
10122212021211617
1135a38910a05427
1211859612768341
13532670c66077c
142227144380b61
15e1e036117d47
hex6f26b41c91e1

122212021211617 has 2 divisors, whose sum is σ = 122212021211618. Its totient is φ = 122212021211616.

The previous prime is 122212021211597. The next prime is 122212021211633. The reversal of 122212021211617 is 716112120212221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 114962120317521 + 7249900894096 = 10722039^2 + 2692564^2 .

It is a cyclic number.

It is not a de Polignac number, because 122212021211617 - 235 = 122177661473249 is a prime.

It is not a weakly prime, because it can be changed into another prime (122212021211677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61106010605808 + 61106010605809.

It is an arithmetic number, because the mean of its divisors is an integer number (61106010605809).

Almost surely, 2122212021211617 is an apocalyptic number.

It is an amenable number.

122212021211617 is a deficient number, since it is larger than the sum of its proper divisors (1).

122212021211617 is an equidigital number, since it uses as much as digits as its factorization.

122212021211617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2688, while the sum is 31.

Adding to 122212021211617 its reverse (716112120212221), we get a palindrome (838324141423838).

The spelling of 122212021211617 in words is "one hundred twenty-two trillion, two hundred twelve billion, twenty-one million, two hundred eleven thousand, six hundred seventeen".