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20120211111200 = 2552151557299027
BaseRepresentation
bin1001001001100100110100…
…00010010011110100100000
32122020110210002212200021112
410210302122002103310200
510114122143021024300
6110443033011242452
74144431405426554
oct444623202236440
978213702780245
1020120211111200
116457a2a704122
12230b521ba9428
13b2c435145975
144d7b75639864
1524d58d63ce35
hex124c9a093d20

20120211111200 has 144 divisors (see below), whose sum is σ = 49532686830144. Its totient is φ = 7980405888000.

The previous prime is 20120211111151. The next prime is 20120211111233. The reversal of 20120211111200 is 211111202102.

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 23 ways as a sum of consecutive naturals, for example, 67136087 + ... + 67435113.

It is an arithmetic number, because the mean of its divisors is an integer number (343976991876).

Almost surely, 220120211111200 is an apocalyptic number.

20120211111200 is a gapful number since it is divisible by the number (20) 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 20120211111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24766343415072).

20120211111200 is an abundant number, since it is smaller than the sum of its proper divisors (29412475718944).

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

20120211111200 is a wasteful number, since it uses less digits than its factorization.

20120211111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299755 (or 299742 counting only the distinct ones).

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

Adding to 20120211111200 its reverse (211111202102), we get a palindrome (20331322313302).

The spelling of 20120211111200 in words is "twenty trillion, one hundred twenty billion, two hundred eleven million, one hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 151 160 200 302 400 557 604 755 800 1114 1208 1510 2228 2416 2785 3020 3775 4456 4832 5570 6040 7550 8912 11140 12080 13925 15100 17824 22280 24160 27850 30200 44560 55700 60400 84107 89120 111400 120800 168214 222800 299027 336428 420535 445600 598054 672856 841070 1196108 1345712 1495135 1682140 2102675 2392216 2691424 2990270 3364280 4205350 4784432 5980540 6728560 7475675 8410700 9568864 11961080 13457120 14951350 16821400 23922160 29902700 33642800 45153077 47844320 59805400 67285600 90306154 119610800 166558039 180612308 225765385 239221600 333116078 361224616 451530770 666232156 722449232 832790195 903061540 1128826925 1332464312 1444898464 1665580390 1806123080 2257653850 2664928624 3331160780 3612246160 4163950975 4515307700 5329857248 6662321560 7224492320 8327901950 9030615400 13324643120 16655803900 18061230800 25150263889 26649286240 33311607800 36122461600 50300527778 66623215600 100601055556 125751319445 133246431200 201202111112 251502638890 402404222224 503005277780 628756597225 804808444448 1006010555560 1257513194450 2012021111120 2515026388900 4024042222240 5030052777800 10060105555600 20120211111200