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12210131132122 = 27111923672707967
BaseRepresentation
bin1011000110101110010010…
…0001110101111011011010
31121020021111000212121212111
42301223210201311323122
53100022322032211442
641545131245302534
72400103301115610
oct261534441657332
947207430777774
1012210131132122
113988318785570
1214524a4264a4a
136a75449200a1
14302d8b3d96b0
15162930a06b17
hexb1ae4875eda

12210131132122 has 128 divisors (see below), whose sum is σ = 25455765749760. Its totient is φ = 4246523962560.

The previous prime is 12210131132117. The next prime is 12210131132161. The reversal of 12210131132122 is 22123113101221.

It is a happy number.

It is a super-2 number, since 2×122101311321222 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 12210131132093 and 12210131132102.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3154983 + ... + 5862949.

It is an arithmetic number, because the mean of its divisors is an integer number (198873169920).

Almost surely, 212210131132122 is an apocalyptic number.

12210131132122 is an abundant number, since it is smaller than the sum of its proper divisors (13245634617638).

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

12210131132122 is a wasteful number, since it uses less digits than its factorization.

12210131132122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2708096.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 12210131132122 its reverse (22123113101221), we get a palindrome (34333244233343).

The spelling of 12210131132122 in words is "twelve trillion, two hundred ten billion, one hundred thirty-one million, one hundred thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 7 11 14 19 22 23 38 46 67 77 133 134 154 161 209 253 266 322 418 437 469 506 737 874 938 1273 1463 1474 1541 1771 2546 2926 3059 3082 3542 4807 5159 6118 8911 9614 10318 10787 14003 16951 17822 21574 28006 29279 33649 33902 58558 67298 98021 118657 196042 204953 237314 322069 409906 644138 2254483 2707967 4508966 5415934 18955769 29787637 37911538 51451373 59575274 62283241 102902746 124566482 181433789 208513459 360159611 362867578 417026918 435982687 565965103 685115651 720319222 871965374 1131930206 1183381579 1270036523 1370231302 1995771679 2366763158 2540073046 3447241991 3961755721 3991543358 4172977147 4795809557 6894483982 7923511442 8283671053 8345954294 9591619114 13017197369 13970401753 16567342106 24130693937 26034394738 27940803506 29210840029 37919661901 45902748617 48261387874 58421680058 75839323802 79286565793 91120381583 91805497234 158573131586 182240763166 265437633307 321319240319 530875266614 555005960551 642638480638 872152223723 1110011921102 1744304447446 6105065566061 12210131132122