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12412403821 is a prime number
BaseRepresentation
bin10111000111101011…
…00100000001101101
31012001001010110001001
423203311210001231
5200410033410241
65411400520301
7616406456146
oct134365440155
935031113031
1012412403821
11529a529784
1224a4a80091
13122a729b5c
1485a6d0acd
154c9a84431
hex2e3d6406d

12412403821 has 2 divisors, whose sum is σ = 12412403822. Its totient is φ = 12412403820.

The previous prime is 12412403807. The next prime is 12412403831. The reversal of 12412403821 is 12830421421.

12412403821 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 can be written as a sum of positive squares in only one way, i.e., 12284397225 + 128006596 = 110835^2 + 11314^2 .

It is an emirp because it is prime and its reverse (12830421421) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12412403821 - 29 = 12412403309 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12412403821.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12412403831) 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, 6206201910 + 6206201911.

It is an arithmetic number, because the mean of its divisors is an integer number (6206201911).

Almost surely, 212412403821 is an apocalyptic number.

It is an amenable number.

12412403821 is a deficient number, since it is larger than the sum of its proper divisors (1).

12412403821 is an equidigital number, since it uses as much as digits as its factorization.

12412403821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3072, while the sum is 28.

The spelling of 12412403821 in words is "twelve billion, four hundred twelve million, four hundred three thousand, eight hundred twenty-one".