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12010020210000 = 243254133444669
BaseRepresentation
bin1010111011000100110011…
…1111010000010101010000
31120112010221221212111211100
42232301030333100111100
53033233010133210000
641313154353544400
72346460332256521
oct256611477202520
946463857774740
1012010020210000
11391046a34299a
12141b757575100
13691703634c27
142d74066c2848
1515c61c971a00
hexaec4cfd0550

12010020210000 has 150 divisors (see below), whose sum is σ = 42000775769810. Its totient is φ = 3202672032000.

The previous prime is 12010020209989. The next prime is 12010020210073. The reversal of 12010020210000 is 1202001021.

It can be written as a sum of positive squares in 5 ways, for example, as 1281224775744 + 10728795434256 = 1131912^2 + 3275484^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 66632335 + ... + 66812334.

Almost surely, 212010020210000 is an apocalyptic number.

12010020210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12010020210000 is an abundant number, since it is smaller than the sum of its proper divisors (29990755559810).

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

12010020210000 is a wasteful number, since it uses less digits than its factorization.

12010020210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133444703 (or 133444679 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12010020210000 its reverse (1202001021), we get a palindrome (12011222211021).

The spelling of 12010020210000 in words is "twelve trillion, ten billion, twenty million, two hundred ten thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1125 1200 1250 1500 1800 1875 2000 2250 2500 3000 3600 3750 4500 5000 5625 6000 7500 9000 10000 11250 15000 18000 22500 30000 45000 90000 133444669 266889338 400334007 533778676 667223345 800668014 1067557352 1201002021 1334446690 1601336028 2001670035 2135114704 2402004042 2668893380 3202672056 3336116725 4003340070 4804008084 5337786760 6005010105 6405344112 6672233450 8006680140 9608016168 10008350175 10675573520 12010020210 13344466900 16013360280 16680583625 19216032336 20016700350 24020040420 26688933800 30025050525 32026720560 33361167250 40033400700 48040080840 50041750875 53377867600 60050101050 66722334500 80066801400 83402918125 96080161680 100083501750 120100202100 133444669000 150125252625 160133602800 166805836250 200167003500 240200404200 250208754375 266889338000 300250505250 333611672500 400334007000 480400808400 500417508750 600501010500 667223345000 750626263125 800668014000 1000835017500 1201002021000 1334446690000 1501252526250 2001670035000 2402004042000 3002505052500 4003340070000 6005010105000 12010020210000