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12021232311009 = 322848574688993
BaseRepresentation
bin1010111011101110100101…
…0010000001101011100001
31120120012220100102020221200
42232323221102001223201
53033423440432423014
641322251120111413
72350335225456615
oct256735122015341
946505810366850
1012021232311009
1139151a3279379
121421966465569
1369279c49281c
142d7b8b805345
1515ca76e5aa09
hexaeee9481ae1

12021232311009 has 12 divisors (see below), whose sum is σ = 17364066887076. Its totient is φ = 8014125030912.

The previous prime is 12021232311001. The next prime is 12021232311061. The reversal of 12021232311009 is 90011323212021.

12021232311009 is a `hidden beast` number, since 1 + 20 + 212 + 323 + 1 + 100 + 9 = 666.

12021232311009 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 2 ways, for example, as 5650010150625 + 6371222160384 = 2376975^2 + 2524128^2 .

It is not a de Polignac number, because 12021232311009 - 23 = 12021232311001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12021232311001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 219217 + ... + 4908209.

It is an arithmetic number, because the mean of its divisors is an integer number (1447005573923).

Almost surely, 212021232311009 is an apocalyptic number.

It is an amenable number.

12021232311009 is a deficient number, since it is larger than the sum of its proper divisors (5342834576067).

12021232311009 is a wasteful number, since it uses less digits than its factorization.

12021232311009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4973856 (or 4973853 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 12021232311009 in words is "twelve trillion, twenty-one billion, two hundred thirty-two million, three hundred eleven thousand, nine".

Divisors: 1 3 9 284857 854571 2563713 4688993 14066979 42200937 1335692479001 4007077437003 12021232311009