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12221201982 = 23112931281733
BaseRepresentation
bin10110110000111000…
…01011111000111110
31011112201100101102110
423120130023320332
5200012111430412
65340410434450
7611565334323
oct133034137076
934481311373
1012221201982
115201605a30
122450a32a26
1311c9c33382
1483d15cb4a
154b7db6d3c
hex2d870be3e

12221201982 has 128 divisors (see below), whose sum is σ = 28614021120. Its totient is φ = 3443328000.

The previous prime is 12221201939. The next prime is 12221202017. The reversal of 12221201982 is 28910212221.

It is a super-3 number, since 3×122212019823 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 16672488 + ... + 16673220.

It is an arithmetic number, because the mean of its divisors is an integer number (223547040).

Almost surely, 212221201982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12221201982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14307010560).

12221201982 is an abundant number, since it is smaller than the sum of its proper divisors (16392819138).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12221201982 is a wasteful number, since it uses less digits than its factorization.

12221201982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090.

The product of its (nonzero) digits is 2304, while the sum is 30.

The spelling of 12221201982 in words is "twelve billion, two hundred twenty-one million, two hundred one thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 11 22 29 31 33 58 62 66 87 93 174 186 281 319 341 562 638 682 733 843 899 957 1023 1466 1686 1798 1914 2046 2199 2697 3091 4398 5394 6182 8063 8149 8711 9273 9889 16126 16298 17422 18546 19778 21257 22723 24189 24447 26133 29667 42514 45446 48378 48894 52266 59334 63771 68169 89639 95821 127542 136338 179278 191642 205973 233827 249953 252619 268917 287463 411946 467654 499906 505238 537834 574926 617919 658967 701481 749859 757857 1235838 1317934 1402962 1499718 1515714 1976901 2265703 2778809 3953802 4531406 5557618 5973217 6385163 6797109 7248637 8336427 11946434 12770326 13594218 14497274 16672854 17919651 19155489 21745911 35839302 38310978 43491822 65705387 70236793 131410774 140473586 185169727 197116161 210710379 370339454 394232322 421420758 555509181 1111018362 2036866997 4073733994 6110600991 12221201982