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12131320001210 = 25672731131812
BaseRepresentation
bin1011000010001000101100…
…0001001111001010111010
31120221202001112211100122222
42300202023001033022322
53042224420410014320
641445015041244042
72361313263422624
oct260421301171272
946852045740588
1012131320001210
113957955972423
12143b16a633622
1369cc94bb3207
142dd2324d3c14
1516086bac5825
hexb088b04f2ba

12131320001210 has 144 divisors (see below), whose sum is σ = 22795611721848. Its totient is φ = 4647081922560.

The previous prime is 12131320001209. The next prime is 12131320001233. The reversal of 12131320001210 is 1210002313121.

It can be written as a sum of positive squares in 12 ways, for example, as 4451099916169 + 7680220085041 = 2109763^2 + 2771321^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 67023867320 + ... + 67023867500.

Almost surely, 212131320001210 is an apocalyptic number.

12131320001210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12131320001210 is a deficient number, since it is larger than the sum of its proper divisors (10664291720638).

12131320001210 is an equidigital number, since it uses as much as digits as its factorization.

12131320001210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 12131320001210 its reverse (1210002313121), we get a palindrome (13341322314331).

The spelling of 12131320001210 in words is "twelve trillion, one hundred thirty-one billion, three hundred twenty million, one thousand, two hundred ten".

Divisors: 1 2 5 10 67 73 113 134 146 181 226 335 362 365 565 670 730 905 1130 1810 4489 4891 7571 8249 8978 9782 12127 13213 15142 16498 20453 22445 24254 24455 26426 32761 37855 40906 41245 44890 48910 60635 65522 66065 75710 82490 102265 121270 132130 163805 204530 327610 327697 507257 552683 655394 812509 885271 1014514 1105366 1370351 1493069 1625018 1638485 1770542 2194987 2391553 2536285 2740702 2763415 2986138 3276970 3701993 4062545 4389974 4426355 4783106 5072570 5526830 6851755 7403986 7465345 8125090 8852710 10974935 11957765 13703510 14930690 18509965 21949870 23915530 37019930 37029761 59313157 74059522 91813517 100035623 118626314 147064129 160234051 183627034 185148805 200071246 248033531 270245489 294128258 296565785 320468102 370297610 459067585 496067062 500178115 540490978 593131570 735320645 801170255 918135170 1000356230 1240167655 1351227445 1470641290 1602340510 2480335310 2702454890 6702386741 10735681417 13404773482 16618246577 18106447763 21471362834 33236493154 33511933705 36212895526 53678407085 67023867410 83091232885 90532238815 107356814170 166182465770 181064477630 1213132000121 2426264000242 6065660000605 12131320001210