Search a number
-
+
12124114021 is a prime number
BaseRepresentation
bin10110100101010011…
…10100110001100101
31011021221122210210001
423102221310301211
5144312233122041
65323021501301
7606306161125
oct132251646145
934257583701
1012124114021
115161823348
122424411831
1311b2a9c186
148302c8c85
154ae5da131
hex2d2a74c65

12124114021 has 2 divisors, whose sum is σ = 12124114022. Its totient is φ = 12124114020.

The previous prime is 12124114019. The next prime is 12124114049. The reversal of 12124114021 is 12041142121.

It is a happy number.

12124114021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7244392996 + 4879721025 = 85114^2 + 69855^2 .

It is a cyclic number.

It is not a de Polignac number, because 12124114021 - 21 = 12124114019 is a prime.

Together with 12124114019, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 12124114021.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12124114001) 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, 6062057010 + 6062057011.

It is an arithmetic number, because the mean of its divisors is an integer number (6062057011).

Almost surely, 212124114021 is an apocalyptic number.

It is an amenable number.

12124114021 is a deficient number, since it is larger than the sum of its proper divisors (1).

12124114021 is an equidigital number, since it uses as much as digits as its factorization.

12124114021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 12124114021 its reverse (12041142121), we get a palindrome (24165256142).

The spelling of 12124114021 in words is "twelve billion, one hundred twenty-four million, one hundred fourteen thousand, twenty-one".