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120211123221 = 347328315289
BaseRepresentation
bin110111111110100100…
…1000010110000010101
3102111021201102210010000
41233331021002300111
53432143021420341
6131120233321513
711453641455000
oct1577511026025
9374251383100
10120211123221
1146a88055122
121b36a566299
13b449b67557
145b653c2537
1531d87aa8b6
hex1bfd242c15

120211123221 has 80 divisors (see below), whose sum is σ = 210170224000. Its totient is φ = 68444865216.

The previous prime is 120211123217. The next prime is 120211123243. The reversal of 120211123221 is 122321112021.

120211123221 is a `hidden beast` number, since 120 + 211 + 12 + 322 + 1 = 666.

It is not a de Polignac number, because 120211123221 - 22 = 120211123217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120211123194 and 120211123203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120211123261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7854945 + ... + 7870233.

It is an arithmetic number, because the mean of its divisors is an integer number (2627127800).

Almost surely, 2120211123221 is an apocalyptic number.

It is an amenable number.

120211123221 is a deficient number, since it is larger than the sum of its proper divisors (89959100779).

120211123221 is an equidigital number, since it uses as much as digits as its factorization.

120211123221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15605 (or 15582 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 120211123221 its reverse (122321112021), we get a palindrome (242532235242).

The spelling of 120211123221 in words is "one hundred twenty billion, two hundred eleven million, one hundred twenty-three thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 283 343 441 567 849 1029 1323 1981 2547 3087 3969 5943 7641 9261 13867 15289 17829 22923 27783 41601 45867 53487 97069 107023 124803 137601 160461 291207 321069 374409 412803 749161 873621 963207 1123227 1238409 2247483 2620863 2889621 4326787 5244127 6742449 7862589 8668863 12980361 15732381 20227347 30287509 38941083 47197143 60682041 90862527 116823249 141591429 212012563 272587581 350469747 424774287 636037689 817762743 1484087941 1908113067 2453288229 4452263823 5724339201 13356791469 17173017603 40070374407 120211123221