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12124120013 is a prime number
BaseRepresentation
bin10110100101010011…
…10110001111001101
31011021221200002222222
423102221312033031
5144312233320023
65323021545125
7606306214445
oct132251661715
934257602888
1012124120013
1151618278a5
1224244151a5
1311b2aa1b15
148302cb125
154ae5dbcc8
hex2d2a763cd

12124120013 has 2 divisors, whose sum is σ = 12124120014. Its totient is φ = 12124120012.

The previous prime is 12124119991. The next prime is 12124120033. The reversal of 12124120013 is 31002142121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12121569604 + 2550409 = 110098^2 + 1597^2 .

It is a cyclic number.

It is not a de Polignac number, because 12124120013 - 26 = 12124119949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12124119973 and 12124120000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12124120033) 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, 6062060006 + 6062060007.

It is an arithmetic number, because the mean of its divisors is an integer number (6062060007).

Almost surely, 212124120013 is an apocalyptic number.

It is an amenable number.

12124120013 is a deficient number, since it is larger than the sum of its proper divisors (1).

12124120013 is an equidigital number, since it uses as much as digits as its factorization.

12124120013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 12124120013 its reverse (31002142121), we get a palindrome (43126262134).

The spelling of 12124120013 in words is "twelve billion, one hundred twenty-four million, one hundred twenty thousand, thirteen".