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12002010022121 = 783136122396779
BaseRepresentation
bin1010111010100110111110…
…0010110100000011101001
31120111101021201021210210012
42232221233202310003221
53033120104031201441
641305351451501305
72346054665635220
oct256515742640351
946441251253705
1012002010022121
113908029847209
12141a0a0a57835
13690a27c658a2
142d6c86925cb7
1515c2ee6129eb
hexaea6f8b40e9

12002010022121 has 32 divisors (see below), whose sum is σ = 13900297420800. Its totient is φ = 10149991015680.

The previous prime is 12002010022109. The next prime is 12002010022151. The reversal of 12002010022121 is 12122001020021.

It is a cyclic number.

It is not a de Polignac number, because 12002010022121 - 210 = 12002010021097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12002010022096 and 12002010022105.

It is not an unprimeable number, because it can be changed into a prime (12002010022151) 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 31 ways as a sum of consecutive naturals, for example, 1770465710 + ... + 1770472488.

It is an arithmetic number, because the mean of its divisors is an integer number (434384294400).

Almost surely, 212002010022121 is an apocalyptic number.

It is an amenable number.

12002010022121 is a deficient number, since it is larger than the sum of its proper divisors (1898287398679).

12002010022121 is a wasteful number, since it uses less digits than its factorization.

12002010022121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10469.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12002010022121 its reverse (12122001020021), we get a palindrome (24124011042142).

The spelling of 12002010022121 in words is "twelve trillion, two billion, ten million, twenty-two thousand, one hundred twenty-one".

Divisors: 1 7 83 581 1361 2239 6779 9527 15673 47453 112963 185837 562657 790741 1300859 3047279 3938599 9226219 15178181 21330953 64583533 106247267 252924157 765776177 1259789023 1770469099 5360433239 8818523161 20657504341 144602530387 1714572860303 12002010022121