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12260151636512 = 2513107376973079
BaseRepresentation
bin1011001001101000100111…
…1110111011001000100000
31121102001121001021112020012
42302122021332323020200
53101332242304332022
642024122542304052
72403523662311123
oct262321176731040
947361531245205
1012260151636512
1139a7556a8289a
121460123b88028
136ac1869bb990
143055747463ba
15163dac09bde2
hexb2689fbb220

12260151636512 has 96 divisors (see below), whose sum is σ = 26244132969600. Its totient is φ = 5604084062208.

The previous prime is 12260151636487. The next prime is 12260151636541. The reversal of 12260151636512 is 21563615106221.

It is a super-2 number, since 2×122601516365122 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12260151636512.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167729189 + ... + 167802267.

It is an arithmetic number, because the mean of its divisors is an integer number (273376385100).

Almost surely, 212260151636512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12260151636512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13122066484800).

12260151636512 is an abundant number, since it is smaller than the sum of its proper divisors (13983981333088).

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

12260151636512 is a wasteful number, since it uses less digits than its factorization.

12260151636512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76978 (or 76970 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 41.

The spelling of 12260151636512 in words is "twelve trillion, two hundred sixty billion, one hundred fifty-one million, six hundred thirty-six thousand, five hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 104 107 208 214 416 428 856 1391 1712 2782 3424 3769 5564 7538 11128 15076 22256 30152 44512 48997 60304 73079 97994 120608 146158 195988 292316 391976 403283 584632 783952 806566 950027 1169264 1567904 1613132 1900054 2338528 3226264 3800108 5242679 6452528 7600216 7819453 10485358 12905056 15200432 15638906 20970716 30400864 31277812 41941432 62555624 83882864 101652889 125111248 167765728 203305778 250222496 275434751 406611556 550869502 813223112 1101739004 1626446224 2203478008 3252892448 3580651763 4406956016 7161303526 8813912032 14322607052 28645214104 29471518357 57290428208 58943036714 114580856416 117886073428 235772146856 383129738641 471544293712 766259477282 943088587424 1532518954564 3065037909128 6130075818256 12260151636512