Search a number
-
+
12223120123 is a prime number
BaseRepresentation
bin10110110001000111…
…00000001011111011
31011112211221211121201
423120203200023323
5200013104320443
65340515515031
7611620543504
oct133043401373
934484854551
1012223120123
1152026a6075
1224515b8a77
1311ca455476
1483d4dbbab
154b814534d
hex2d88e02fb

12223120123 has 2 divisors, whose sum is σ = 12223120124. Its totient is φ = 12223120122.

The previous prime is 12223120103. The next prime is 12223120127. The reversal of 12223120123 is 32102132221.

12223120123 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12223120123 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12223120123.

It is not a weakly prime, because it can be changed into another prime (12223120127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6111560061 + 6111560062.

It is an arithmetic number, because the mean of its divisors is an integer number (6111560062).

Almost surely, 212223120123 is an apocalyptic number.

12223120123 is a deficient number, since it is larger than the sum of its proper divisors (1).

12223120123 is an equidigital number, since it uses as much as digits as its factorization.

12223120123 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 12223120123 its reverse (32102132221), we get a palindrome (44325252344).

The spelling of 12223120123 in words is "twelve billion, two hundred twenty-three million, one hundred twenty thousand, one hundred twenty-three".