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12084211321 = 713267152461
BaseRepresentation
bin10110100000100011…
…00110111001111001
31011012011120112120021
423100101212321321
5144222024230241
65315034330441
7605313046540
oct132021467171
934164515507
1012084211321
115141249906
122412b89a21
1311a773aa00
14828c9d157
154aad570d1
hex2d0466e79

12084211321 has 24 divisors (see below), whose sum is σ = 15177897024. Its totient is φ = 9418368960.

The previous prime is 12084211309. The next prime is 12084211327. The reversal of 12084211321 is 12311248021.

12084211321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12084211321 - 215 = 12084178553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12084211327) 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 in 23 ways as a sum of consecutive naturals, for example, 3031 + ... + 155491.

It is an arithmetic number, because the mean of its divisors is an integer number (632412376).

Almost surely, 212084211321 is an apocalyptic number.

It is an amenable number.

12084211321 is a deficient number, since it is larger than the sum of its proper divisors (3093685703).

12084211321 is a wasteful number, since it uses less digits than its factorization.

12084211321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152561 (or 152548 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

Adding to 12084211321 its reverse (12311248021), we get a palindrome (24395459342).

The spelling of 12084211321 in words is "twelve billion, eighty-four million, two hundred eleven thousand, three hundred twenty-one".

Divisors: 1 7 13 67 91 169 469 871 1183 6097 11323 79261 152461 1067227 1981993 10214887 13873951 25765909 71504209 132793531 180361363 929554717 1726315903 12084211321