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12210213130122 = 23747263123719013
BaseRepresentation
bin1011000110101110100101…
…1010101000111110001010
31121020021200202011112222110
42301223221122220332022
53100023004030130442
641545143335003150
72400105315103050
oct261535132507612
947207622145873
1012210213130122
11398835aaa0907
1214525078094b6
136a75588cca07
14302d982621d0
15162937d0269c
hexb1ae96a8f8a

12210213130122 has 128 divisors (see below), whose sum is σ = 28635879849984. Its totient is φ = 3398495079168.

The previous prime is 12210213130097. The next prime is 12210213130123. The reversal of 12210213130122 is 22103131201221.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (12210213130123) 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 63 ways as a sum of consecutive naturals, for example, 642193888 + ... + 642212900.

It is an arithmetic number, because the mean of its divisors is an integer number (223717811328).

Almost surely, 212210213130122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12210213130122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14317939924992).

12210213130122 is an abundant number, since it is smaller than the sum of its proper divisors (16425666719862).

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

12210213130122 is a wasteful number, since it uses less digits than its factorization.

12210213130122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20572.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 12210213130122 its reverse (22103131201221), we get a palindrome (34313344331343).

The spelling of 12210213130122 in words is "twelve trillion, two hundred ten billion, two hundred thirteen million, one hundred thirty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 47 94 141 263 282 329 526 658 789 987 1237 1578 1841 1974 2474 3682 3711 5523 7422 8659 11046 12361 17318 19013 24722 25977 37083 38026 51954 57039 58139 74166 86527 114078 116278 133091 173054 174417 259581 266182 325331 348834 399273 406973 519162 650662 798546 813946 893611 975993 1220919 1787222 1951986 2277317 2441838 2680833 4554634 5000419 5361666 6255277 6831951 10000838 12510554 13663902 15001257 15290557 18765831 23519081 30002514 30581114 35002933 37531662 45871671 47038162 70005866 70557243 91743342 105008799 107033899 141114486 164633567 210017598 214067798 235019693 321101697 329267134 470039386 493900701 642203394 705059079 987801402 1105396807 1410118158 1645137851 2210793614 3290275702 3316190421 4935413553 6185518303 6632380842 7737777649 9870827106 12371036606 15475555298 18556554909 23213332947 37113109818 43298628121 46426665894 86597256242 129895884363 259791768726 290719360241 581438720482 872158080723 1744316161446 2035035521687 4070071043374 6105106565061 12210213130122