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12201121021111 = 111923531632291283
BaseRepresentation
bin1011000110001100101101…
…1110111111110010110111
31121012102020002202120011021
42301203023132333302313
53044400343440133421
641541041223322011
72366334103333441
oct261431336776267
947172202676137
1012201121021111
113984514808830
1214507aa8b0307
136a673a03c859
14302774911491
151625a49ce341
hexb18cb7bfcb7

12201121021111 has 128 divisors (see below), whose sum is σ = 15064438579200. Its totient is φ = 9750713955840.

The previous prime is 12201121021093. The next prime is 12201121021121. The reversal of 12201121021111 is 11112012110221.

It is not a de Polignac number, because 12201121021111 - 25 = 12201121021079 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201121021121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9509836476 + ... + 9509837758.

It is an arithmetic number, because the mean of its divisors is an integer number (117690926400).

Almost surely, 212201121021111 is an apocalyptic number.

12201121021111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12201121021111 is a deficient number, since it is larger than the sum of its proper divisors (2863317558089).

12201121021111 is a wasteful number, since it uses less digits than its factorization.

12201121021111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1781.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 12201121021111 its reverse (11112012110221), we get a palindrome (23313133131332).

The spelling of 12201121021111 in words is "twelve trillion, two hundred one billion, one hundred twenty-one million, twenty-one thousand, one hundred eleven".

Divisors: 1 11 19 23 53 163 209 229 253 437 583 1007 1219 1283 1793 2519 3097 3749 4351 4807 5267 8639 11077 12137 13409 14113 23161 24377 29509 34067 37327 41239 47861 57937 67999 71231 95029 100073 133507 164141 198697 209129 230603 254771 268147 279151 293807 324599 410597 560671 709213 747989 783541 858521 1100803 1291981 1563977 1805551 1978331 2185667 2300419 2536633 3070661 3231877 3775243 3973451 4809967 5303869 5582333 6167381 6757561 7801343 9443731 11083837 14211791 15571771 16311899 17203747 21761641 29715563 37588289 41527673 43707961 45501613 47890541 52909637 58342559 61405663 74333171 91389373 121922207 128393659 171289481 179430889 210592903 254928251 295863649 326871193 358150733 413471179 500517743 526795951 864530647 909920279 1005283103 1101482443 1412330249 2316521933 2538198673 2804210761 3254500139 3939658063 4843636769 6804863927 9509837117 10009123069 12116306873 20928166417 27920185403 48225774787 53280004459 58378569479 74853503197 230209830587 530483522657 642164264269 1109192820101 12201121021111