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12123321431130 = 23257132113866079
BaseRepresentation
bin1011000001101010111001…
…0001000111010001011010
31120220222102010002220020200
42300122232101013101122
53042112030241244010
641441213232203030
72360611130616420
oct260325621072132
946828363086220
1012123321431130
113954520991328
1214396b7999476
1369c2bba50c00
142dcab40bd110
1516054e7adcc0
hexb06ae44745a

12123321431130 has 144 divisors (see below), whose sum is σ = 39007786222080. Its totient is φ = 2557887576192.

The previous prime is 12123321431071. The next prime is 12123321431161. The reversal of 12123321431130 is 3113412332121.

12123321431130 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 332 + 14 + 311 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12123321431094 and 12123321431103.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56826570 + ... + 57039509.

It is an arithmetic number, because the mean of its divisors is an integer number (270887404320).

Almost surely, 212123321431130 is an apocalyptic number.

12123321431130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12123321431130 is an abundant number, since it is smaller than the sum of its proper divisors (26884464790950).

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

12123321431130 is a wasteful number, since it uses less digits than its factorization.

12123321431130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113866125 (or 113866109 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 12123321431130 its reverse (3113412332121), we get a palindrome (15236733763251).

Subtracting from 12123321431130 its reverse (3113412332121), we obtain a palindrome (9009909099009).

It can be divided in two parts, 1212332 and 1431130, that added together give a palindrome (2643462).

The spelling of 12123321431130 in words is "twelve trillion, one hundred twenty-three billion, three hundred twenty-one million, four hundred thirty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 63 65 70 78 90 91 105 117 126 130 169 182 195 210 234 273 315 338 390 455 507 546 585 630 819 845 910 1014 1170 1183 1365 1521 1638 1690 2366 2535 2730 3042 3549 4095 5070 5915 7098 7605 8190 10647 11830 15210 17745 21294 35490 53235 106470 113866079 227732158 341598237 569330395 683196474 797062553 1024794711 1138660790 1480259027 1594125106 1707991185 2049589422 2391187659 2960518054 3415982370 3985312765 4440777081 4782375318 5123973555 7173562977 7401295135 7970625530 8881554162 10247947110 10361813189 11955938295 13322331243 14347125954 14802590270 19243367351 20723626378 22203885405 23911876590 26644662486 31085439567 35867814885 38486734702 44407770810 51809065945 57730102053 62170879134 66611656215 71735629770 93256318701 96216836755 103618131890 115460204106 133223312430 134703571457 155427197835 173190306159 186512637402 192433673510 269407142914 288650510265 310854395670 346380612318 404110714371 466281593505 577301020530 673517857285 808221428742 865951530795 932563187010 1212332143113 1347035714570 1731903061590 2020553571855 2424664286226 4041107143710 6061660715565 12123321431130