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12012223001310 = 2325724316319861
BaseRepresentation
bin1010111011001101000001…
…0010001111001011011110
31120112100122110210220102200
42232303100102033023132
53033302013042020220
641314201123232330
72346566040552600
oct256632022171336
946470573726380
1012012223001310
11391139a7a9684
1214200712186a6
13691994b02c3c
142d7575089170
1515c6eb040890
hexaecd048f2de

12012223001310 has 144 divisors (see below), whose sum is σ = 36415145961792. Its totient is φ = 2739280118400.

The previous prime is 12012223001309. The next prime is 12012223001321. The reversal of 12012223001310 is 1310032221021.

12012223001310 is a `hidden beast` number, since 1 + 2 + 0 + 122 + 230 + 0 + 1 + 310 = 666.

It is a super-2 number, since 2×120122230013102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1259221 + ... + 5060640.

It is an arithmetic number, because the mean of its divisors is an integer number (252882958068).

Almost surely, 212012223001310 is an apocalyptic number.

12012223001310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12012223001310 is an abundant number, since it is smaller than the sum of its proper divisors (24402922960482).

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

12012223001310 is a wasteful number, since it uses less digits than its factorization.

12012223001310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6320319 (or 6320309 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12012223001310 its reverse (1310032221021), we get a palindrome (13322255222331).

The spelling of 12012223001310 in words is "twelve trillion, twelve billion, two hundred twenty-three million, one thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 431 441 490 630 735 862 882 1293 1470 2155 2205 2586 3017 3879 4310 4410 6034 6465 7758 9051 12930 15085 18102 19395 21119 27153 30170 38790 42238 45255 54306 63357 90510 105595 126714 135765 190071 211190 271530 316785 380142 633570 950355 1900710 6319861 12639722 18959583 31599305 37919166 44239027 56878749 63198610 88478054 94797915 113757498 132717081 189595830 221195135 265434162 284393745 309673189 398151243 442390270 568787490 619346378 663585405 796302486 929019567 1327170810 1548365945 1858039134 1990756215 2723860091 2787058701 3096731890 3981512430 4645097835 5447720182 5574117402 8171580273 9290195670 13619300455 13935293505 16343160546 19067020637 24514740819 27238600910 27870587010 38134041274 40857901365 49029481638 57201061911 81715802730 95335103185 114402123822 122573704095 133469144459 171603185733 190670206370 245147408190 266938288918 286005309555 343206371466 400407433377 572010619110 667345722295 800814866754 858015928665 1201222300131 1334691444590 1716031857330 2002037166885 2402444600262 4004074333770 6006111500655 12012223001310