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13121305132012 = 22721119359892237
BaseRepresentation
bin1011111011110000101010…
…1110110011101111101100
31201110101101022111201022121
42332330022232303233230
53204434413103211022
643523502214322324
72522661113250400
oct276741256635754
951411338451277
1013121305132012
1141a9794747910
12157abb66593a4
1374244538663c
14335108827100
1517b4adee32c7
hexbef0abb3bec

13121305132012 has 144 divisors (see below), whose sum is σ = 30758655916800. Its totient is φ = 4829637778560.

The previous prime is 13121305131989. The next prime is 13121305132043. The reversal of 13121305132012 is 21023150312131.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14259958 + ... + 15152194.

It is an arithmetic number, because the mean of its divisors is an integer number (213601777200).

Almost surely, 213121305132012 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 13121305132012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15379327958400).

13121305132012 is an abundant number, since it is smaller than the sum of its proper divisors (17637350784788).

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

13121305132012 is a wasteful number, since it uses less digits than its factorization.

13121305132012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892644 (or 892635 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

Adding to 13121305132012 its reverse (21023150312131), we get a palindrome (34144455444143).

The spelling of 13121305132012 in words is "thirteen trillion, one hundred twenty-one billion, three hundred five million, one hundred thirty-two thousand, twelve".

Divisors: 1 2 4 7 11 14 19 22 28 38 44 49 76 77 98 133 154 196 209 266 308 359 418 532 539 718 836 931 1078 1436 1463 1862 2156 2513 2926 3724 3949 5026 5852 6821 7898 10052 10241 13642 15796 17591 20482 27284 27643 35182 40964 47747 55286 70364 75031 95494 110572 150062 190988 193501 300124 334229 387002 525217 668458 774004 892237 1050434 1336916 1784474 2100868 3568948 3676519 6245659 7353038 9814607 12491318 14706076 16952503 19629214 24982636 33905006 39258428 43719613 67810012 68702249 87439226 118667521 137404498 174878452 186477533 237335042 274808996 320313083 372955066 474670084 480915743 640626166 745910132 830672647 961831486 1281252332 1305342731 1661345294 1923662972 2242191581 2610685462 3322690588 3523443913 4484383162 5221370924 6085948577 7046887826 8968766324 9137399117 12171897154 14093775652 15695341067 18274798234 24343794308 24664107391 31390682134 36549596468 42601640039 49328214782 62781364268 66945434347 85203280078 98656429564 133890868694 170406560156 172648751737 267781737388 298211480273 345297503474 468618040429 596422960546 690595006948 937236080858 1192845921092 1874472161716 3280326283003 6560652566006 13121305132012