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12022121012009 = 101274814331389
BaseRepresentation
bin1010111011110001111001…
…0000001001101100101001
31120120022012021122221112112
42232330132100021230221
53033432300434341014
641322515224052105
72350366236345623
oct256743620115451
946508167587475
1012022121012009
113915609993609
121421b74004035
136928b16312c4
142d7c3385dc13
1515cac9ea473e
hexaef1e409b29

12022121012009 has 8 divisors (see below), whose sum is σ = 12141596517960. Its totient is φ = 11902654224000.

The previous prime is 12022121012003. The next prime is 12022121012039. The reversal of 12022121012009 is 90021012122021.

12022121012009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9577910832400 + 2444210179609 = 3094820^2 + 1563397^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 12022121012009 - 220 = 12022119963433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12022121012003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 609887 + ... + 4941275.

It is an arithmetic number, because the mean of its divisors is an integer number (1517699564745).

Almost surely, 212022121012009 is an apocalyptic number.

It is an amenable number.

12022121012009 is a deficient number, since it is larger than the sum of its proper divisors (119475505951).

12022121012009 is a wasteful number, since it uses less digits than its factorization.

12022121012009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4358971.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 12022121012009 in words is "twelve trillion, twenty-two billion, one hundred twenty-one million, twelve thousand, nine".

Divisors: 1 101 27481 2775581 4331389 437470289 119030901109 12022121012009