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12002322021021 = 3317531393549457
BaseRepresentation
bin1010111010101000001000…
…1000111111101010011101
31120111102002110100222211000
42232222002020333222131
53033121223414133041
641305442435020513
72346065504611053
oct256520210775235
946442073328730
1012002322021021
113908179976642
12141a16943a739
13690a777a5017
142d6cb61401d3
1515c31bbe1bb6
hexaea8223fa9d

12002322021021 has 64 divisors (see below), whose sum is σ = 19320409785600. Its totient is φ = 7335618121728.

The previous prime is 12002322020977. The next prime is 12002322021043. The reversal of 12002322021021 is 12012022320021.

12002322021021 is a `hidden beast` number, since 1 + 200 + 232 + 2 + 0 + 210 + 21 = 666.

It is not a de Polignac number, because 12002322021021 - 213 = 12002322012829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12002322020985 and 12002322021003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002322021061) 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 in 63 ways as a sum of consecutive naturals, for example, 1606725 + ... + 5156181.

It is an arithmetic number, because the mean of its divisors is an integer number (301881402900).

Almost surely, 212002322021021 is an apocalyptic number.

It is an amenable number.

12002322021021 is a deficient number, since it is larger than the sum of its proper divisors (7318087764579).

12002322021021 is a wasteful number, since it uses less digits than its factorization.

12002322021021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3549675 (or 3549669 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12002322021021 its reverse (12012022320021), we get a palindrome (24014344341042).

The spelling of 12002322021021 in words is "twelve trillion, two billion, three hundred twenty-two million, twenty-one thousand, twenty-one".

Divisors: 1 3 9 17 27 51 53 139 153 159 417 459 477 901 1251 1431 2363 2703 3753 7089 7367 8109 21267 22101 24327 63801 66303 125239 198909 375717 1127151 3381453 3549457 10648371 31945113 60340769 95835339 181022307 188121221 493374523 543066921 564363663 1480123569 1629200763 1693090989 3198060757 4440370707 5079272967 8387366891 9594182271 13321112121 25162100673 26148849719 28782546813 75486302019 78446549157 86347640439 226458906057 235339647471 444530445223 706018942413 1333591335669 4000774007007 12002322021021