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12120100210200 = 23352181691111793
BaseRepresentation
bin1011000001011110111001…
…0001001000011000011000
31120220200002121210220211210
42300113232101020120120
53042033431123211300
641435521442223120
72360435244653643
oct260275621103030
946820077726753
1012120100210200
113953118664374
121438b59054aa0
1369bbc7592318
142dc88a36ca5a
15160411abd050
hexb05ee448618

12120100210200 has 96 divisors (see below), whose sum is σ = 37574412382800. Its totient is φ = 3231845928960.

The previous prime is 12120100210193. The next prime is 12120100210243. The reversal of 12120100210200 is 201200102121.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10345504 + ... + 11457296.

Almost surely, 212120100210200 is an apocalyptic number.

12120100210200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12120100210200 is an abundant number, since it is smaller than the sum of its proper divisors (25454312172600).

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

12120100210200 is a wasteful number, since it uses less digits than its factorization.

12120100210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129981 (or 1129972 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12120100210200 its reverse (201200102121), we get a palindrome (12321300312321).

The spelling of 12120100210200 in words is "twelve trillion, one hundred twenty billion, one hundred million, two hundred ten thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 18169 36338 54507 72676 90845 109014 145352 181690 218028 272535 363380 436056 454225 545070 726760 908450 1090140 1111793 1362675 1816900 2180280 2223586 2725350 3335379 3633800 4447172 5450700 5558965 6670758 8894344 10901400 11117930 13341516 16676895 22235860 26683032 27794825 33353790 44471720 55589650 66707580 83384475 111179300 133415160 166768950 222358600 333537900 667075800 20200167017 40400334034 60600501051 80800668068 101000835085 121201002102 161601336136 202001670170 242402004204 303002505255 404003340340 484804008408 505004175425 606005010510 808006680680 1010008350850 1212010021020 1515012526275 2020016701700 2424020042040 3030025052550 4040033403400 6060050105100 12120100210200