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12227927117142 = 2311218193054557
BaseRepresentation
bin1011000111110000100101…
…0000001000110101010110
31121021222102021011022221210
42301330021100020311112
53100320243320222032
642001233203122250
72401303301362062
oct261741120106526
947258367138853
1012227927117142
113994920092500
121455a30073386
136a911c7bba39
14303b98abaaa2
151631230112cc
hexb1f09408d56

12227927117142 has 48 divisors (see below), whose sum is σ = 27029743571376. Its totient is φ = 3684960417600.

The previous prime is 12227927117141. The next prime is 12227927117171. The reversal of 12227927117142 is 24171172972221.

It is a junction number, because it is equal to n+sod(n) for n = 12227927117091 and 12227927117100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12227927117141) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 46395873 + ... + 46658684.

It is an arithmetic number, because the mean of its divisors is an integer number (563119657737).

Almost surely, 212227927117142 is an apocalyptic number.

12227927117142 is an abundant number, since it is smaller than the sum of its proper divisors (14801816454234).

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

12227927117142 is a wasteful number, since it uses less digits than its factorization.

12227927117142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93054765 (or 93054754 counting only the distinct ones).

The product of its digits is 395136, while the sum is 48.

The spelling of 12227927117142 in words is "twelve trillion, two hundred twenty-seven billion, nine hundred twenty-seven million, one hundred seventeen thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 121 181 242 362 363 543 726 1086 1991 3982 5973 11946 21901 43802 65703 131406 93054557 186109114 279163671 558327342 1023600127 2047200254 3070800381 6141600762 11259601397 16842874817 22519202794 33685749634 33778804191 50528624451 67557608382 101057248902 185271622987 370543245974 555814868961 1111629737922 2037987852857 4075975705714 6113963558571 12227927117142