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12202211020212 = 22321741829586609
BaseRepresentation
bin1011000110010000110001…
…1101000000110110110100
31121012112001001210020211100
42301210030131000312310
53044410112010121322
641541341322010100
72366403110224413
oct261441435006664
947175031706740
1012202211020212
113984a24012234
121450a53946930
136a6881acb435
143028395a947a
1516261a53bdac
hexb190c740db4

12202211020212 has 144 divisors (see below), whose sum is σ = 33495829894800. Its totient is φ = 3730263736320.

The previous prime is 12202211020169. The next prime is 12202211020267. The reversal of 12202211020212 is 21202011220221.

It is a happy number.

12202211020212 is a `hidden beast` number, since 1 + 220 + 2 + 211 + 0 + 20 + 212 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 153911843856 + 12048299176356 = 392316^2 + 3471066^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20507964 + ... + 21094572.

It is an arithmetic number, because the mean of its divisors is an integer number (232609929825).

Almost surely, 212202211020212 is an apocalyptic number.

12202211020212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12202211020212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16747914947400).

12202211020212 is an abundant number, since it is smaller than the sum of its proper divisors (21293618874588).

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

12202211020212 is a wasteful number, since it uses less digits than its factorization.

12202211020212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587506 (or 587501 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12202211020212 its reverse (21202011220221), we get a palindrome (33404222240433).

The spelling of 12202211020212 in words is "twelve trillion, two hundred two billion, two hundred eleven million, twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 41 51 68 82 102 123 153 164 204 246 306 369 492 612 697 738 829 1394 1476 1658 2091 2487 2788 3316 4182 4974 6273 7461 8364 9948 12546 14093 14922 25092 28186 29844 33989 42279 56372 67978 84558 101967 126837 135956 169116 203934 253674 305901 407868 507348 577813 586609 611802 1155626 1173218 1223604 1733439 1759827 2311252 2346436 3466878 3519654 5200317 5279481 6933756 7039308 9972353 10400634 10558962 19944706 20801268 21117924 24050969 29917059 39889412 48101938 59834118 72152907 89751177 96203876 119668236 144305814 179502354 216458721 288611628 359004708 408866473 432917442 486298861 817732946 865834884 972597722 1226599419 1458896583 1635465892 1945195444 2453198838 2917793166 3679798257 4376689749 4906397676 5835586332 7359596514 8267080637 8753379498 14719193028 16534161274 17506758996 19938253301 24801241911 33068322548 39876506602 49602483822 59814759903 74403725733 79753013204 99204967644 119629519806 148807451466 179444279709 239259039612 297614902932 338950306117 358888559418 677900612234 717777118836 1016850918351 1355801224468 2033701836702 3050552755053 4067403673404 6101105510106 12202211020212