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12112010211000 = 233537576762391
BaseRepresentation
bin1011000001000000110000…
…0100001110111010111000
31120212220012211001101020210
42300100030010032322320
53041420344103223000
641432103005351120
72360030622053310
oct260201404167270
946786184041223
1012112010211000
11394a747006217
12143747b8684a0
1369b2084ca74b
142dc31db58440
151600db746350
hexb040c10eeb8

12112010211000 has 128 divisors (see below), whose sum is σ = 43187967912960. Its totient is φ = 2768459472000.

The previous prime is 12112010210981. The next prime is 12112010211013. The reversal of 12112010211000 is 11201021121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 288360196 + ... + 288402195.

It is an arithmetic number, because the mean of its divisors is an integer number (337405999320).

Almost surely, 212112010211000 is an apocalyptic number.

12112010211000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12112010211000 is an abundant number, since it is smaller than the sum of its proper divisors (31075957701960).

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

12112010211000 is a wasteful number, since it uses less digits than its factorization.

12112010211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576762422 (or 576762408 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12112010211000 its reverse (11201021121), we get a palindrome (12123211232121).

The spelling of 12112010211000 in words is "twelve trillion, one hundred twelve billion, ten million, two hundred eleven thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 125 140 150 168 175 200 210 250 280 300 350 375 420 500 525 600 700 750 840 875 1000 1050 1400 1500 1750 2100 2625 3000 3500 4200 5250 7000 10500 21000 576762391 1153524782 1730287173 2307049564 2883811955 3460574346 4037336737 4614099128 5767623910 6921148692 8074673474 8651435865 11535247820 12112010211 13842297384 14419059775 16149346948 17302871730 20186683685 23070495640 24224020422 28838119550 32298693896 34605743460 40373367370 43257179325 48448040844 57676239100 60560051055 69211486920 72095298875 80746734740 86514358650 96896081688 100933418425 115352478200 121120102110 144190597750 161493469480 173028717300 201866836850 216285896625 242240204220 288381195500 302800255275 346057434600 403733673700 432571793250 484480408440 504667092125 576762391000 605600510550 807467347400 865143586500 1009334184250 1211201021100 1514001276375 1730287173000 2018668368500 2422402042200 3028002552750 4037336737000 6056005105500 12112010211000