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12122012023000 = 2353112347913091
BaseRepresentation
bin1011000001100110000000…
…1110000111100011011000
31120220212000212020001222021
42300121200032013203120
53042101340034214000
641440435255104224
72360533521053125
oct260314016074330
946825025201867
1012122012023000
113953a09848650
1214393b1372074
1369c1406a08b9
142dc9cc22d74c
151604c486111a
hexb06603878d8

12122012023000 has 128 divisors (see below), whose sum is σ = 32289590960640. Its totient is φ = 4216351920000.

The previous prime is 12122012022941. The next prime is 12122012023001. The reversal of 12122012023000 is 32021022121.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122012023001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23703546 + ... + 24209545.

It is an arithmetic number, because the mean of its divisors is an integer number (252262429380).

Almost surely, 212122012023000 is an apocalyptic number.

12122012023000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122012023000 is an abundant number, since it is smaller than the sum of its proper divisors (20167578937640).

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

12122012023000 is a wasteful number, since it uses less digits than its factorization.

12122012023000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47913146 (or 47913132 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12122012023000 its reverse (32021022121), we get a palindrome (12154033045121).

The spelling of 12122012023000 in words is "twelve trillion, one hundred twenty-two billion, twelve million, twenty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 23 25 40 44 46 50 55 88 92 100 110 115 125 184 200 220 230 250 253 275 440 460 500 506 550 575 920 1000 1012 1100 1150 1265 1375 2024 2200 2300 2530 2750 2875 4600 5060 5500 5750 6325 10120 11000 11500 12650 23000 25300 31625 50600 63250 126500 253000 47913091 95826182 191652364 239565455 383304728 479130910 527044001 958261820 1054088002 1102001093 1197827275 1916523640 2108176004 2204002186 2395654550 2635220005 4216352008 4408004372 4791309100 5270440010 5510005465 5989136375 8816008744 9582618200 10540880020 11020010930 11978272750 12122012023 13176100025 21081760040 22040021860 23956545500 24244024046 26352200050 27550027325 44080043720 47913091000 48488048092 52704400100 55100054650 60610060115 65880500125 96976096184 105408800200 110200109300 121220120230 131761000250 137750136625 220400218600 242440240460 263522000500 275500273250 303050300575 484880480920 527044001000 551000546500 606100601150 1102001093000 1212201202300 1515251502875 2424402404600 3030503005750 6061006011500 12122012023000