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12211331332011 = 37297110914917389
BaseRepresentation
bin1011000110110010110000…
…0100001111011110101011
31121020101120200021002121020
42301230230010033132223
53100032301310111021
641545450321543523
72400145113465630
oct261545404173653
947211520232536
1012211331332011
1139888842084a9
12145277a1a4ba3
136a76a6484536
1430306297c187
151629a10817c6
hexb1b2c10f7ab

12211331332011 has 128 divisors (see below), whose sum is σ = 19832947200000. Its totient is φ = 6536908707840.

The previous prime is 12211331332003. The next prime is 12211331332021. The reversal of 12211331332011 is 11023313311221.

It is not a de Polignac number, because 12211331332011 - 23 = 12211331332003 is a prime.

It is a super-2 number, since 2×122113313320112 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12211331332021) 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, 702235905 + ... + 702253293.

It is an arithmetic number, because the mean of its divisors is an integer number (154944900000).

Almost surely, 212211331332011 is an apocalyptic number.

12211331332011 is a deficient number, since it is larger than the sum of its proper divisors (7621615867989).

12211331332011 is a wasteful number, since it uses less digits than its factorization.

12211331332011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17757.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 12211331332011 its reverse (11023313311221), we get a palindrome (23234644643232).

The spelling of 12211331332011 in words is "twelve trillion, two hundred eleven billion, three hundred thirty-one million, three hundred thirty-two thousand, eleven".

Divisors: 1 3 7 21 29 71 87 109 149 203 213 327 447 497 609 763 1043 1491 2059 2289 3129 3161 4321 6177 7739 9483 10579 12963 14413 16241 17389 22127 23217 30247 31737 43239 48723 52167 54173 66381 74053 90741 113687 121723 162519 222159 224431 306791 341061 365169 470989 504281 673293 920373 1153111 1234619 1412967 1512843 1571017 1895401 2147537 2590961 3296923 3459333 3529967 3703857 4713051 5686203 6442611 7772883 8071777 8642333 9890769 10589901 13267807 18136727 24215331 25926999 33440219 35803951 39803421 54410181 54966629 75137869 100320657 107411853 134573471 164899887 183958231 225413607 234081533 250627657 282414749 384766403 403720413 525965083 551874693 702244599 751882971 847244247 942014297 1154299209 1287707617 1577895249 1976903243 2826042891 3863122851 3902630659 5334788699 5930709729 8190027721 11707891977 16004366097 20051447179 24570083163 27318414613 37343520893 57330194047 60154341537 81955243839 112030562679 140360130253 171990582141 421080390759 581491968191 1744475904573 4070443777337 12211331332011