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12210121011200 = 21252717034209
BaseRepresentation
bin1011000110101110001111…
…1011001111000000000000
31121020021110022211102120112
42301223203323033000000
53100022311434324300
641545130244330452
72400103116103550
oct261534373170000
947207408742515
1012210121011200
113988312aa2572
1214524a09a3a28
136a75427b8488
14302d89d23160
1516292eba7e35
hexb1ae3ecf000

12210121011200 has 156 divisors (see below), whose sum is σ = 34602749099280. Its totient is φ = 4186326958080.

The previous prime is 12210121011173. The next prime is 12210121011223. The reversal of 12210121011200 is 211012101221.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7800305 + ... + 9233904.

Almost surely, 212210121011200 is an apocalyptic number.

12210121011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12210121011200 is an abundant number, since it is smaller than the sum of its proper divisors (22392628088080).

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

12210121011200 is an equidigital number, since it uses as much as digits as its factorization.

12210121011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17034250 (or 17034223 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12210121011200 its reverse (211012101221), we get a palindrome (12421133112421).

The spelling of 12210121011200 in words is "twelve trillion, two hundred ten billion, one hundred twenty-one million, eleven thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 128 140 160 175 200 224 256 280 320 350 400 448 512 560 640 700 800 896 1024 1120 1280 1400 1600 1792 2048 2240 2560 2800 3200 3584 4096 4480 5120 5600 6400 7168 8960 10240 11200 12800 14336 17920 20480 22400 25600 28672 35840 44800 51200 71680 89600 102400 143360 179200 358400 716800 17034209 34068418 68136836 85171045 119239463 136273672 170342090 238478926 272547344 340684180 425855225 476957852 545094688 596197315 681368360 851710450 953915704 1090189376 1192394630 1362736720 1703420900 1907831408 2180378752 2384789260 2725473440 2980986575 3406841800 3815662816 4360757504 4769578520 5450946880 5961973150 6813683600 7631325632 8721515008 9539157040 10901893760 11923946300 13627367200 15262651264 17443030016 19078314080 21803787520 23847892600 27254734400 30525302528 34886060032 38156628160 43607575040 47695785200 54509468800 61050605056 69772120064 76313256320 87215150080 95391570400 109018937600 122101210112 152626512640 174430300160 190783140800 218037875200 244202420224 305253025280 348860600320 381566281600 436075750400 488404840448 610506050560 763132563200 872151500800 1221012101120 1526265126400 1744303001600 2442024202240 3052530252800 6105060505600 12210121011200