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12032113301320 = 2357237997161561
BaseRepresentation
bin1010111100010111000111…
…0101101101011101001000
31120121020222122220211120211
42233011301311231131020
53034113232001120240
641331250533330504
72351201661404500
oct257056165553510
946536878824524
1012032113301320
113919877311452
121423aa2496a34
1369381484bc28
142d8500976a00
1515ceb233cbea
hexaf171d6d748

12032113301320 has 96 divisors (see below), whose sum is σ = 31493238653880. Its totient is φ = 4125161886720.

The previous prime is 12032113301311. The next prime is 12032113301347. The reversal of 12032113301320 is 2310331123021.

It can be written as a sum of positive squares in 4 ways, for example, as 11892690222084 + 139423079236 = 3448578^2 + 373394^2 .

It is a super-2 number, since 2×120321133013202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12032113301291 and 12032113301300.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74393340 + ... + 74554900.

Almost surely, 212032113301320 is an apocalyptic number.

12032113301320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12032113301320 is an abundant number, since it is smaller than the sum of its proper divisors (19461125352560).

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

12032113301320 is a wasteful number, since it uses less digits than its factorization.

12032113301320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199583 (or 199572 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 12032113301320 its reverse (2310331123021), we get a palindrome (14342444424341).

The spelling of 12032113301320 in words is "twelve trillion, thirty-two billion, one hundred thirteen million, three hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 37997 75994 151988 161561 189985 265979 303976 323122 379970 531958 646244 759940 807805 1063916 1130927 1292488 1329895 1519880 1615610 1861853 2127832 2261854 2659790 3231220 3723706 4523708 5319580 5654635 6462440 7447412 7916489 9047416 9309265 10639160 11309270 14894824 15832978 18618530 22618540 31665956 37237060 39582445 45237080 63331912 74474120 79164890 158329780 316659560 6138833317 12277666634 24555333268 30694166585 42971833219 49110666536 61388333170 85943666438 122776666340 171887332876 214859166095 245553332680 300802832533 343774665752 429718332190 601605665066 859436664380 1203211330132 1504014162665 1718873328760 2406422660264 3008028325330 6016056650660 12032113301320