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12051072575997 = 373135356929873
BaseRepresentation
bin1010111101011101101111…
…1001100110100111111101
31120200001220222010210002020
42233113123321212213331
53034421044034412442
641344104124350353
72352442545522000
oct257273371464775
946601828123066
1012051072575997
1139269163310a4
1214276b39a53b9
1369554672a960
142d93bc94d537
1515d721a309ec
hexaf5dbe669fd

12051072575997 has 128 divisors (see below), whose sum is σ = 20597286528000. Its totient is φ = 6225504509952.

The previous prime is 12051072575929. The next prime is 12051072576017. The reversal of 12051072575997 is 79957527015021.

It is not a de Polignac number, because 12051072575997 - 27 = 12051072575869 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12051072575997.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12051072575197) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 403395253 + ... + 403425125.

It is an arithmetic number, because the mean of its divisors is an integer number (160916301000).

Almost surely, 212051072575997 is an apocalyptic number.

It is an amenable number.

12051072575997 is a deficient number, since it is larger than the sum of its proper divisors (8546213952003).

12051072575997 is a wasteful number, since it uses less digits than its factorization.

12051072575997 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30532 (or 30518 counting only the distinct ones).

The product of its (nonzero) digits is 13891500, while the sum is 60.

The spelling of 12051072575997 in words is "twelve trillion, fifty-one billion, seventy-two million, five hundred seventy-five thousand, nine hundred ninety-seven".

Divisors: 1 3 7 13 21 39 49 53 91 147 159 273 343 371 569 637 689 1029 1113 1707 1911 2067 2597 3983 4459 4823 7397 7791 11949 13377 14469 18179 22191 27881 29873 30157 33761 51779 54537 83643 89619 90471 101283 155337 195167 209111 211099 236327 362453 388349 392041 585501 627333 633297 708981 1087359 1165047 1176123 1463777 1477693 1583269 2537171 2718443 2744287 4391331 4433079 4749807 7611513 8155329 8232861 10246439 10343851 11082883 16997737 19029101 19210009 20582497 30739317 31031553 33248649 50993211 57087303 57630027 61747491 77580181 118984159 133203707 134470063 144077479 220970581 232740543 356952477 399611121 403410189 432232437 543061267 662911743 832889113 900880061 1008542353 1546794067 1629183801 2498667339 2702640183 3025627059 4640382201 5830223791 6306160427 7059796471 10827558469 11711440793 17490671373 18918481281 21179389413 32482675407 35134322379 44143122989 75792909283 81980085551 132429368967 227378727849 245940256653 309001860923 573860598857 927005582769 1721581796571 4017024191999 12051072575997