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12010212022122 = 23331157223204923
BaseRepresentation
bin1010111011000101100001…
…1010111101011101101010
31120112011110022210120121000
42232301120122331131222
53033233403234201442
641313225405055430
72346465151532526
oct256613032753552
946464408716530
1012010212022122
113910558643206
12141b7ab857576
136917342b3422
142d7423d72d86
1515c62e70ed4c
hexaec586bd76a

12010212022122 has 128 divisors (see below), whose sum is σ = 27850253598720. Its totient is φ = 3832303700160.

The previous prime is 12010212022121. The next prime is 12010212022157. The reversal of 12010212022122 is 22122021201021.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 12010212022095 and 12010212022104.

It is not an unprimeable number, because it can be changed into a prime (12010212022121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58505953 + ... + 58710875.

It is an arithmetic number, because the mean of its divisors is an integer number (217580106240).

Almost surely, 212010212022122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12010212022122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13925126799360).

12010212022122 is an abundant number, since it is smaller than the sum of its proper divisors (15840041576598).

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

12010212022122 is a wasteful number, since it uses less digits than its factorization.

12010212022122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205345 (or 205339 counting only the distinct ones).

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

Adding to 12010212022122 its reverse (22122021201021), we get a palindrome (34132233223143).

The spelling of 12010212022122 in words is "twelve trillion, ten billion, two hundred twelve million, twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 157 186 223 279 314 446 471 558 669 837 942 1338 1413 1674 2007 2826 4014 4239 4867 6021 6913 8478 9734 12042 13826 14601 20739 29202 35011 41478 43803 62217 70022 87606 105033 124434 131409 186651 204923 210066 262818 315099 373302 409846 614769 630198 945297 1085341 1229538 1844307 1890594 2170682 3256023 3688614 5532921 6352613 6512046 9768069 11065842 12705226 19057839 19536138 29304207 32172911 38115678 45697829 57173517 58608414 64345822 91395658 96518733 114347034 137093487 171520551 193037466 274186974 289556199 343041102 411280461 579112398 822560922 868668597 997360241 1233841383 1416632699 1737337194 1994720482 2467682766 2833265398 2992080723 4249898097 5984161446 7174559153 8499796194 8976242169 12749694291 14349118306 17952484338 21523677459 25499388582 26928726507 38249082873 43047354918 53857453014 64571032377 76498165746 129142064754 193713097131 222411333743 387426194262 444822667486 667234001229 1334468002458 2001702003687 4003404007374 6005106011061 12010212022122