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12023143032120 = 23351110190182591
BaseRepresentation
bin1010111011110101101100…
…1010110110010100111000
31120120101211111202221120020
42232331123022312110320
53033441344104011440
641323204453330440
72350433456361243
oct256753312662470
946511744687506
1012023143032120
113915a93887430
1214221ba336a20
13692a152ab22c
142d7ccd4a025a
1515cb39a853d0
hexaef5b2b6538

12023143032120 has 128 divisors (see below), whose sum is σ = 39738057338880. Its totient is φ = 2885842880000.

The previous prime is 12023143031987. The next prime is 12023143032133. The reversal of 12023143032120 is 2123034132021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44957976 + ... + 45224615.

It is an arithmetic number, because the mean of its divisors is an integer number (310453572960).

Almost surely, 212023143032120 is an apocalyptic number.

12023143032120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12023143032120 is an abundant number, since it is smaller than the sum of its proper divisors (27714914306760).

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

12023143032120 is a wasteful number, since it uses less digits than its factorization.

12023143032120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90182717 (or 90182713 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12023143032120 its reverse (2123034132021), we get a palindrome (14146177164141).

The spelling of 12023143032120 in words is "twelve trillion, twenty-three billion, one hundred forty-three million, thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 101 110 120 132 165 202 220 264 303 330 404 440 505 606 660 808 1010 1111 1212 1320 1515 2020 2222 2424 3030 3333 4040 4444 5555 6060 6666 8888 11110 12120 13332 16665 22220 26664 33330 44440 66660 133320 90182591 180365182 270547773 360730364 450912955 541095546 721460728 901825910 992008501 1082191092 1352738865 1803651820 1984017002 2164382184 2705477730 2976025503 3607303640 3968034004 4960042505 5410955460 5952051006 7936068008 9108441691 9920085010 10821910920 11904102012 14880127515 18216883382 19840170020 23808204024 27325325073 29760255030 36433766764 39680340040 45542208455 54650650146 59520510060 72867533528 91084416910 100192858601 109301300292 119041020120 136626625365 182168833820 200385717202 218602600584 273253250730 300578575803 364337667640 400771434404 500964293005 546506501460 601157151606 801542868808 1001928586010 1093013002920 1202314303212 1502892879015 2003857172020 2404628606424 3005785758030 4007714344040 6011571516060 12023143032120