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12120220211200 = 211521048722573
BaseRepresentation
bin1011000001011111010101…
…1010111001100000000000
31120220200101222121121021021
42300113311122321200000
53042034202333224300
641435541410235224
72360441232651043
oct260276532714000
946820358547237
1012120220211200
11395317a376952
121438b91285b14
1369bc163b982a
142dc89c288c5a
1516041c3c3d1a
hexb05f56b9800

12120220211200 has 144 divisors (see below), whose sum is σ = 30055004637840. Its totient is φ = 4847411036160.

The previous prime is 12120220211191. The next prime is 12120220211227. The reversal of 12120220211200 is 211202202121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 536923114 + ... + 536945686.

It is an arithmetic number, because the mean of its divisors is an integer number (208715309985).

Almost surely, 212120220211200 is an apocalyptic number.

12120220211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12120220211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15027502318920).

12120220211200 is an abundant number, since it is smaller than the sum of its proper divisors (17934784426640).

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

12120220211200 is a wasteful number, since it uses less digits than its factorization.

12120220211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33092 (or 33067 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12120220211200 its reverse (211202202121), we get a palindrome (12331422413321).

The spelling of 12120220211200 in words is "twelve trillion, one hundred twenty billion, two hundred twenty million, two hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1024 1280 1600 2048 2560 3200 5120 6400 10240 10487 12800 20974 22573 25600 41948 45146 51200 52435 83896 90292 104870 112865 167792 180584 209740 225730 262175 335584 361168 419480 451460 524350 564325 671168 722336 838960 902920 1048700 1128650 1342336 1444672 1677920 1805840 2097400 2257300 2684672 2889344 3355840 3611680 4194800 4514600 5369344 5778688 6711680 7223360 8389600 9029200 10738688 11557376 13423360 14446720 16779200 18058400 21477376 23114752 26846720 28893440 33558400 36116800 46229504 53693440 57786880 67116800 72233600 107386880 115573760 134233600 144467200 231147520 236723051 268467200 288934400 473446102 536934400 577868800 946892204 1155737600 1183615255 1893784408 2367230510 3787568816 4734461020 5918076275 7575137632 9468922040 11836152550 15150275264 18937844080 23672305100 30300550528 37875688160 47344610200 60601101056 75751376320 94689220400 121202202112 151502752640 189378440800 242404404224 303005505280 378756881600 484808808448 606011010560 757513763200 1212022021120 1515027526400 2424044042240 3030055052800 6060110105600 12120220211200