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12212212212209 = 118136217285517
BaseRepresentation
bin1011000110110110000010…
…0100100010000111110001
31121020110212001210110001202
42301231200210202013301
53100041102311242314
641550113550140545
72400206001032522
oct261554044420761
947213761713052
1012212212212209
113989196470869
1214529851b1755
136a77b6b15319
1430310795c849
15162a035830de
hexb1b609221f1

12212212212209 has 8 divisors (see below), whose sum is σ = 12222933072168. Its totient is φ = 12201491998080.

The previous prime is 12212212212149. The next prime is 12212212212223. The reversal of 12212212212209 is 90221221221221.

It can be written as a sum of positive squares in 4 ways, for example, as 6032289669184 + 6179922543025 = 2456072^2 + 2485945^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12212212212209 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12212212212259) 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 in 7 ways as a sum of consecutive naturals, for example, 42629519 + ... + 42915035.

It is an arithmetic number, because the mean of its divisors is an integer number (1527866634021).

Almost surely, 212212212212209 is an apocalyptic number.

It is an amenable number.

12212212212209 is a deficient number, since it is larger than the sum of its proper divisors (10720859959).

12212212212209 is a wasteful number, since it uses less digits than its factorization.

12212212212209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322915.

The product of its (nonzero) digits is 2304, while the sum is 29.

The spelling of 12212212212209 in words is "twelve trillion, two hundred twelve billion, two hundred twelve million, two hundred twelve thousand, two hundred nine".

Divisors: 1 1181 36217 285517 42772277 337195577 10340569189 12212212212209