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13121193889512 = 23331061255722391
BaseRepresentation
bin1011111011110000010000…
…0110011100111011101000
31201110101002120012000022000
42332330010012130323220
53204434201113431022
643523443202131000
72522655262562262
oct276740406347350
951411076160260
1013121193889512
1141a9737977765
12157ab85350a60
13742428307887
143350d7b4ab32
1517b4a436c6ac
hexbef0419cee8

13121193889512 has 128 divisors (see below), whose sum is σ = 36498010579200. Its totient is φ = 4367705068800.

The previous prime is 13121193889483. The next prime is 13121193889519. The reversal of 13121193889512 is 21598839112131.

13121193889512 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 1 + 19 + 38 + 89 + 512 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (13121193889519) 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 31 ways as a sum of consecutive naturals, for example, 585991837 + ... + 586014227.

It is an arithmetic number, because the mean of its divisors is an integer number (285140707650).

Almost surely, 213121193889512 is an apocalyptic number.

13121193889512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13121193889512 is an abundant number, since it is smaller than the sum of its proper divisors (23376816689688).

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

13121193889512 is a wasteful number, since it uses less digits than its factorization.

13121193889512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26024 (or 26014 counting only the distinct ones).

The product of its digits is 933120, while the sum is 54.

The spelling of 13121193889512 in words is "thirteen trillion, one hundred twenty-one billion, one hundred ninety-three million, eight hundred eighty-nine thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 1061 2122 2557 3183 4244 5114 6366 7671 8488 9549 10228 12732 15342 19098 20456 22391 23013 25464 28647 30684 38196 44782 46026 57294 61368 67173 69039 76392 89564 92052 114588 134346 138078 179128 184104 201519 229176 268692 276156 403038 537384 552312 604557 806076 1209114 1612152 2418228 2712977 4836456 5425954 8138931 10851908 16277862 21703816 23756851 24416793 32555724 47513702 48833586 57253787 65111448 71270553 73250379 95027404 97667172 114507574 142541106 146500758 171761361 190054808 195334344 213811659 229015148 285082212 293001516 343522722 427623318 458030296 515284083 570164424 586003032 641434977 687045444 855246636 1030568166 1282869954 1374090888 1545852249 1710493272 2061136332 2565739908 3091704498 4122272664 5131479816 6183408996 12366817992 60746268007 121492536014 182238804021 242985072028 364477608042 485970144056 546716412063 728955216084 1093432824126 1457910432168 1640149236189 2186865648252 3280298472378 4373731296504 6560596944756 13121193889512