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12055555205312 = 262368411197181
BaseRepresentation
bin1010111101101110011100…
…0101011110100011000000
31120200111111100222221111012
42233123213011132203000
53040004234113032222
641350125014540052
72352661616324063
oct257334705364300
946614440887435
1012055555205312
113928806697923
121428545067628
13695aac331a38
142d96c60168da
1515d8d533c1e2
hexaf6e715e8c0

12055555205312 has 56 divisors (see below), whose sum is σ = 24966531455712. Its totient is φ = 5764852684800.

The previous prime is 12055555205311. The next prime is 12055555205387. The reversal of 12055555205312 is 21350255555021.

It is a super-3 number, since 3×120555552053123 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 12055555205312.

It is not an unprimeable number, because it can be changed into a prime (12055555205311) 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 7 ways as a sum of consecutive naturals, for example, 9471362 + ... + 10668542.

It is an arithmetic number, because the mean of its divisors is an integer number (445830918852).

Almost surely, 212055555205312 is an apocalyptic number.

It is an amenable number.

12055555205312 is an abundant number, since it is smaller than the sum of its proper divisors (12910976250400).

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

12055555205312 is a wasteful number, since it uses less digits than its factorization.

12055555205312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204057 (or 1204047 counting only the distinct ones).

The product of its (nonzero) digits is 375000, while the sum is 41.

The spelling of 12055555205312 in words is "twelve trillion, fifty-five billion, five hundred fifty-five million, two hundred five thousand, three hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 736 1472 6841 13682 27364 54728 109456 157343 218912 314686 437824 629372 1197181 1258744 2394362 2517488 4788724 5034976 9577448 10069952 19154896 27535163 38309792 55070326 76619584 110140652 220281304 440562608 881125216 1762250432 8189915221 16379830442 32759660884 65519321768 131038643536 188368050083 262077287072 376736100166 524154574144 753472200332 1506944400664 3013888801328 6027777602656 12055555205312