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12711507753112 = 2371933774347713
BaseRepresentation
bin1011100011111010000011…
…1001110111100010011000
31200000012121211102221002121
42320332200321313202120
53131231131441044422
643011330330311024
72451243004066450
oct270764071674230
950005554387077
1012711507753112
114060a13813763
1215136aa288474
137128c802219c
1431d3513a6d60
151709c74128c7
hexb8fa0e77898

12711507753112 has 128 divisors (see below), whose sum is σ = 28796964019200. Its totient is φ = 5138715230208.

The previous prime is 12711507753073. The next prime is 12711507753121. The reversal of 12711507753112 is 21135770511721.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 266392168 + ... + 266439880.

It is an arithmetic number, because the mean of its divisors is an integer number (224976281400).

Almost surely, 212711507753112 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 12711507753112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14398482009600).

12711507753112 is an abundant number, since it is smaller than the sum of its proper divisors (16085456266088).

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

12711507753112 is a wasteful number, since it uses less digits than its factorization.

12711507753112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48825 (or 48821 counting only the distinct ones).

The product of its (nonzero) digits is 102900, while the sum is 43.

The spelling of 12711507753112 in words is "twelve trillion, seven hundred eleven billion, five hundred seven million, seven hundred fifty-three thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 337 532 674 743 1064 1348 1486 2359 2696 2972 4718 5201 5944 6403 9436 10402 12806 14117 18872 20804 25612 28234 41608 44821 47713 51224 56468 89642 95426 98819 112936 179284 190852 197638 250391 333991 358568 381704 395276 500782 667982 790552 906547 1001564 1335964 1752737 1813094 2003128 2671928 3505474 3626188 4757429 6345829 7010948 7252376 9514858 12691658 14021896 16079281 19029716 25383316 32158562 33302003 35450759 38059432 50766632 64317124 66604006 70901518 112554967 128634248 133208012 141803036 225109934 248155313 266416024 283606072 305506339 450219868 496310626 611012678 673564421 900439736 992621252 1222025356 1347128842 1985242504 2138544373 2444050712 2694257684 4277088746 4714950947 5388515368 8554177492 9429901894 11946905783 17108354984 18859803788 23893811566 37719607576 47787623132 83628340481 95575246264 167256680962 226991209877 334513361924 453982419754 669026723848 907964839508 1588938469139 1815929679016 3177876938278 6355753876556 12711507753112