Search a number
-
+
12121000117 is a prime number
BaseRepresentation
bin10110100100111011…
…11100100010110101
31011021201210121022021
423102131330202311
5144310434000432
65322431033141
7606240541522
oct132235744265
934251717267
1012121000117
11515aa96876
12242336b7b1
1311b224ba25
1482db18149
154ae1c2697
hex2d277c8b5

12121000117 has 2 divisors, whose sum is σ = 12121000118. Its totient is φ = 12121000116.

The previous prime is 12121000079. The next prime is 12121000123. The reversal of 12121000117 is 71100012121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9921952881 + 2199047236 = 99609^2 + 46894^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12121000117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12121000117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12121000127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6060500058 + 6060500059.

It is an arithmetic number, because the mean of its divisors is an integer number (6060500059).

Almost surely, 212121000117 is an apocalyptic number.

It is an amenable number.

12121000117 is a deficient number, since it is larger than the sum of its proper divisors (1).

12121000117 is an equidigital number, since it uses as much as digits as its factorization.

12121000117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 16.

Adding to 12121000117 its reverse (71100012121), we get a palindrome (83221012238).

The spelling of 12121000117 in words is "twelve billion, one hundred twenty-one million, one hundred seventeen", and thus it is an aban number.