Search a number
-
+
12001983784000 = 26537214321139
BaseRepresentation
bin1010111010100110110111…
…1110101110010001000000
31120111101012212220202211221
42232221231332232101000
53033120030322042000
641305345113244424
72346054226625230
oct256515576562100
946441185822757
1012001983784000
113908015a56111
12141a094103714
13690a226a9c82
142d6c83255cc0
1515c2ec17d61a
hexaea6dfae440

12001983784000 has 112 divisors (see below), whose sum is σ = 33969043405440. Its totient is φ = 4114965849600.

The previous prime is 12001983783917. The next prime is 12001983784001. The reversal of 12001983784000 is 48738910021.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×120019837840002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12001983784001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 107104570 + ... + 107216569.

Almost surely, 212001983784000 is an apocalyptic number.

12001983784000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001983784000 is an abundant number, since it is smaller than the sum of its proper divisors (21967059621440).

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

12001983784000 is an equidigital number, since it uses as much as digits as its factorization.

12001983784000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214321173 (or 214321153 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 43.

The spelling of 12001983784000 in words is "twelve trillion, one billion, nine hundred eighty-three million, seven hundred eighty-four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 140 160 175 200 224 250 280 320 350 400 448 500 560 700 800 875 1000 1120 1400 1600 1750 2000 2240 2800 3500 4000 5600 7000 8000 11200 14000 28000 56000 214321139 428642278 857284556 1071605695 1500247973 1714569112 2143211390 3000495946 3429138224 4286422780 5358028475 6000991892 6858276448 7501239865 8572845560 10716056950 12001983784 13716552896 15002479730 17145691120 21432113900 24003967568 26790142375 30004959460 34291382240 37506199325 42864227800 48007935136 53580284750 60009918920 68582764480 75012398650 85728455600 96015870272 107160569500 120019837840 150024797300 171456911200 187530996625 214321139000 240039675680 300049594600 342913822400 375061993250 428642278000 480079351360 600099189200 750123986500 857284556000 1200198378400 1500247973000 1714569112000 2400396756800 3000495946000 6000991892000 12001983784000