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121943171328 = 2831131465631
BaseRepresentation
bin111000110010001100…
…0010010000100000000
3102122202102120221102220
41301210120102010000
53444214422440303
6132004145211040
711544602565636
oct1614430220400
9378672527386
10121943171328
1147796817540
121b772630a80
13b6649550a4
145c8b44b356
15328a890053
hex1c64612100

121943171328 has 144 divisors (see below), whose sum is σ = 365472694272. Its totient is φ = 35760384000.

The previous prime is 121943171243. The next prime is 121943171341. The reversal of 121943171328 is 823171349121.

It is a super-2 number, since 2×1219431713282 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 121943171328.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29073 + ... + 494703.

Almost surely, 2121943171328 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 121943171328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182736347136).

121943171328 is an abundant number, since it is smaller than the sum of its proper divisors (243529522944).

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

121943171328 is a wasteful number, since it uses less digits than its factorization.

121943171328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465692 (or 465678 counting only the distinct ones).

The product of its digits is 72576, while the sum is 42.

The spelling of 121943171328 in words is "one hundred twenty-one billion, nine hundred forty-three million, one hundred seventy-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 64 66 88 93 96 124 128 132 176 186 192 248 256 264 341 352 372 384 496 528 682 704 744 768 992 1023 1056 1364 1408 1488 1984 2046 2112 2728 2816 2976 3968 4092 4224 5456 5952 7936 8184 8448 10912 11904 16368 21824 23808 32736 43648 65472 87296 130944 261888 465631 931262 1396893 1862524 2793786 3725048 5121941 5587572 7450096 10243882 11175144 14434561 14900192 15365823 20487764 22350288 28869122 29800384 30731646 40975528 43303683 44700576 57738244 59600768 61463292 81951056 86607366 89401152 115476488 119201536 122926584 158780171 163902112 173214732 178802304 230952976 245853168 317560342 327804224 346429464 357604608 461905952 476340513 491706336 635120684 655608448 692858928 923811904 952681026 983412672 1270241368 1311216896 1385717856 1847623808 1905362052 1966825344 2540482736 2771435712 3695247616 3810724104 3933650688 5080965472 5542871424 7621448208 10161930944 11085742848 15242896416 20323861888 30485792832 40647723776 60971585664 121943171328