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12021131023122 = 23132973497314639
BaseRepresentation
bin1010111011101110001100…
…1111101001001100010010
31120120012122021211022002110
42232323203033221030102
53033423234020214442
641322233101130150
72350332555521634
oct256734317511422
946505567738073
1012021131023122
113915151088281
121421938559956
136927844baa70
142d7b7c19aa54
1515ca6d0ee69c
hexaeee33e9312

12021131023122 has 128 divisors (see below), whose sum is σ = 27158708505600. Its totient is φ = 3521394100224.

The previous prime is 12021131023081. The next prime is 12021131023127. The reversal of 12021131023122 is 22132013112021.

It is not an unprimeable number, because it can be changed into a prime (12021131023127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 821164279 + ... + 821178917.

It is an arithmetic number, because the mean of its divisors is an integer number (212177410200).

Almost surely, 212021131023122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12021131023122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13579354252800).

12021131023122 is an abundant number, since it is smaller than the sum of its proper divisors (15137577482478).

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

12021131023122 is a wasteful number, since it uses less digits than its factorization.

12021131023122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19732.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 12021131023122 its reverse (22132013112021), we get a palindrome (34153144135143).

The spelling of 12021131023122 in words is "twelve trillion, twenty-one billion, one hundred thirty-one million, twenty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 13 26 29 39 58 73 78 87 146 174 219 377 438 754 949 1131 1898 2117 2262 2847 4234 4973 5694 6351 9946 12702 14639 14919 27521 29278 29838 43917 55042 64649 82563 87834 129298 144217 165126 190307 193947 288434 363029 380614 387894 424531 432651 570921 726058 849062 865302 1068647 1089087 1141842 1273593 1874821 2137294 2178174 2547186 3205941 3749642 4719377 5518903 5624463 6411882 9438754 10527841 11037806 11248926 13892411 14158131 16556709 21055682 27784822 28316262 30990763 31583523 33113418 41677233 61981526 63167046 72799747 83354466 92972289 136861933 145599494 185944578 218399241 273723866 402879919 410585799 436798482 805759838 821171598 946396711 1208639757 1892793422 2111192663 2417279514 2839190133 4222385326 5314381531 5678380266 6333577989 10628763062 12667155978 15943144593 27445504619 31886289186 54891009238 69086959903 82336513857 138173919806 154117064399 164673027714 207260879709 308234128798 414521759418 462351193197 924702386394 2003521837187 4007043674374 6010565511561 12021131023122