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122212122120013 is a prime number
BaseRepresentation
bin11011110010011010111010…
…001000000100111101001101
3121000201100211220211001220211
4123302122322020010331031
5112004310411230320023
61111531250203042421
734512351213024052
oct3362327210047515
9530640756731824
10122212122120013
1135a389629673a2
1211859640510411
135326727531893
14222715392b029
15e1e03edeba0d
hex6f26ba204f4d

122212122120013 has 2 divisors, whose sum is σ = 122212122120014. Its totient is φ = 122212122120012.

The previous prime is 122212122119999. The next prime is 122212122120019. The reversal of 122212122120013 is 310021221212221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122210305485129 + 1816634884 = 11054877^2 + 42622^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122212122120013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122212122120019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61106061060006 + 61106061060007.

It is an arithmetic number, because the mean of its divisors is an integer number (61106061060007).

Almost surely, 2122212122120013 is an apocalyptic number.

It is an amenable number.

122212122120013 is a deficient number, since it is larger than the sum of its proper divisors (1).

122212122120013 is an equidigital number, since it uses as much as digits as its factorization.

122212122120013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 122212122120013 its reverse (310021221212221), we get a palindrome (432233343332234).

The spelling of 122212122120013 in words is "one hundred twenty-two trillion, two hundred twelve billion, one hundred twenty-two million, one hundred twenty thousand, thirteen".