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12212001012211 = 71113210113616827
BaseRepresentation
bin1011000110110101001111…
…1110110111100111110011
31121020110022100101101010121
42301231103332313213303
53100040134224342321
641550041003311111
72400200524620220
oct261552376674763
947213270341117
1012212001012211
113989098229110
12145292651b497
136a7782139200
143030c78a2947
151629dec65441
hexb1b53fb79f3

12212001012211 has 96 divisors (see below), whose sum is σ = 16664531728896. Its totient is φ = 8689224960000.

The previous prime is 12212001012203. The next prime is 12212001012217. The reversal of 12212001012211 is 11221010021221.

It is not a de Polignac number, because 12212001012211 - 23 = 12212001012203 is a prime.

It is a super-2 number, since 2×122120010122112 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12212001012217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1788776580 + ... + 1788783406.

It is an arithmetic number, because the mean of its divisors is an integer number (173588872176).

Almost surely, 212212001012211 is an apocalyptic number.

12212001012211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12212001012211 is a deficient number, since it is larger than the sum of its proper divisors (4452530716685).

12212001012211 is a wasteful number, since it uses less digits than its factorization.

12212001012211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8333 (or 8320 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12212001012211 its reverse (11221010021221), we get a palindrome (23433011033432).

The spelling of 12212001012211 in words is "twelve trillion, two hundred twelve billion, one million, twelve thousand, two hundred eleven".

Divisors: 1 7 11 13 77 91 101 143 169 707 1001 1111 1183 1313 1361 1859 6827 7777 9191 9527 13013 14443 14971 17069 17693 47789 75097 88751 101101 104797 119483 123851 137461 187759 194623 230009 525679 621257 689527 962227 976261 1153763 1314313 1362361 1512071 1610063 1786993 2530099 4826689 6833827 7584797 8076341 8963851 9291547 10584497 12508951 12691393 17710693 19656923 23230909 53093579 62746957 65040829 88839751 98602361 102207017 116530063 120790111 137598461 162616363 255539999 690216527 715449119 815710441 845530777 938446247 1281830693 1328691221 1570271443 1788779993 6569123729 8972814851 9300838547 10322908717 10991900101 12199801211 17272985873 72260361019 85398608477 120910901111 134197813321 158597415743 939384693247 1110181910201 1744571573173 12212001012211