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12032022023021 = 711134110127110711
BaseRepresentation
bin1010111100010110110001…
…1001100000101101101101
31120121020202022011102022002
42233011230121200231231
53034113040114214041
641331233513102045
72351166502506140
oct257055431405555
946536668142262
1012032022023021
11391982a837740
121423a779b7925
136937cb9701c0
142d84d27b6057
1515cea930c59b
hexaf16c660b6d

12032022023021 has 128 divisors (see below), whose sum is σ = 16775991558144. Its totient is φ = 8328096000000.

The previous prime is 12032022022961. The next prime is 12032022023033.

It is a happy number.

12032022023021 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12032022023021 - 210 = 12032022021997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12032022022984 and 12032022023002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12032022023051) 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 127 ways as a sum of consecutive naturals, for example, 1123327856 + ... + 1123338566.

It is an arithmetic number, because the mean of its divisors is an integer number (131062434048).

Almost surely, 212032022023021 is an apocalyptic number.

12032022023021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12032022023021 is a deficient number, since it is larger than the sum of its proper divisors (4743969535123).

12032022023021 is a wasteful number, since it uses less digits than its factorization.

12032022023021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11155.

The product of its (nonzero) digits is 576, while the sum is 20.

It can be divided in two parts, 1203202 and 2023021, that added together give a palindrome (3226223).

The spelling of 12032022023021 in words is "twelve trillion, thirty-two billion, twenty-two million, twenty-three thousand, twenty-one".

Divisors: 1 7 11 13 41 77 91 101 143 271 287 451 533 707 1001 1111 1313 1897 2981 3157 3523 3731 4141 5863 7777 9191 10711 11111 14443 20867 24661 27371 28987 38753 41041 45551 53833 74977 77777 101101 117821 122221 139243 144443 191597 271271 301081 318857 355823 376831 439151 592163 824747 855547 974701 1011101 1081811 1122211 1531673 1588873 2107567 2490761 2902681 3074057 3914053 4145141 4830661 5708963 7572677 7855477 10721711 11122111 11899921 12344321 14063543 14588743 20318767 27398371 31929491 33814627 37734853 39962741 44354251 62798593 83299447 86410247 98444801 102121201 119009921 154698973 160476173 223506437 264143971 293170781 310479757 415083383 439590151 487896761 576605263 833069447 1082892811 1123333211 1309109131 1547128973 2052195467 2905583681 3224878591 3415277327 3811220153 4036236841 6342657893 9163763917 10829902811 12020002021 17018418703 22574150137 26678541071 41923421683 44398605251 84140014147 119128930921 132220022231 156260026273 293463951781 925540155617 1093820183911 1718860289003 12032022023021