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12212122000049 is a prime number
BaseRepresentation
bin1011000110110101101100…
…1100011001101010110001
31121020110121210001012020122
42301231123030121222301
53100040411213000144
641550101004420025
72400203524164356
oct261553314315261
947213553035218
1012212122000049
11398914a555064
12145295ab47615
136a77a121a94a
143030d999862d
151629ea6b37ee
hexb1b5b319ab1

12212122000049 has 2 divisors, whose sum is σ = 12212122000050. Its totient is φ = 12212122000048.

The previous prime is 12212122000009. The next prime is 12212122000087. The reversal of 12212122000049 is 94000022121221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12188756737600 + 23365262449 = 3491240^2 + 152857^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12212122000049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12212121999991 and 12212122000027.

It is not a weakly prime, because it can be changed into another prime (12212122000009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6106061000024 + 6106061000025.

It is an arithmetic number, because the mean of its divisors is an integer number (6106061000025).

Almost surely, 212212122000049 is an apocalyptic number.

It is an amenable number.

12212122000049 is a deficient number, since it is larger than the sum of its proper divisors (1).

12212122000049 is an equidigital number, since it uses as much as digits as its factorization.

12212122000049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 12212122000049 in words is "twelve trillion, two hundred twelve billion, one hundred twenty-two million, forty-nine", and thus it is an aban number.