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12111020212120 = 23543197130327431
BaseRepresentation
bin1011000000111101000100…
…0011101011111110011000
31120212210122211012020002121
42300033101003223332120
53041411332133241440
641431420442311024
72356664241155224
oct260172103537630
946783584166077
1012111020212120
11394a2891a3425
1214372441b8474
1369b0ab3827ab
142dc268491784
1516007e88d34a
hexb03d10ebf98

12111020212120 has 128 divisors (see below), whose sum is σ = 28047582858240. Its totient is φ = 4703943928320.

The previous prime is 12111020212087. The next prime is 12111020212139. The reversal of 12111020212120 is 2121202011121.

12111020212120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12111020212094 and 12111020212103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 441494805 + ... + 441522235.

It is an arithmetic number, because the mean of its divisors is an integer number (219121741080).

Almost surely, 212111020212120 is an apocalyptic number.

12111020212120 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 12111020212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14023791429120).

12111020212120 is an abundant number, since it is smaller than the sum of its proper divisors (15936562646120).

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

12111020212120 is a wasteful number, since it uses less digits than its factorization.

12111020212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28985 (or 28981 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12111020212120 its reverse (2121202011121), we get a palindrome (14232222223241).

The spelling of 12111020212120 in words is "twelve trillion, one hundred eleven billion, twenty million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 197 215 344 394 430 788 860 985 1303 1576 1720 1970 2606 3940 5212 6515 7880 8471 10424 13030 16942 26060 27431 33884 42355 52120 54862 56029 67768 84710 109724 112058 137155 169420 219448 224116 256691 274310 280145 338840 448232 513382 548620 560290 1026764 1097240 1120580 1179533 1283455 2053528 2241160 2359066 2566910 4718132 5133820 5403907 5897665 9436264 10267640 10807814 11037713 11795330 21615628 22075426 23590660 27019535 35742593 43231256 44150852 47181320 54039070 55188565 71485186 88301704 108078140 110377130 142970372 178712965 216156280 220754260 232368001 285940744 357425930 441508520 464736002 714851860 929472004 1161840005 1429703720 1536931499 1858944008 2323680010 3073862998 4647360020 6147725996 7041290821 7684657495 9294720040 12295451992 14082581642 15369314990 28165163284 30738629980 35206454105 56330326568 61477259960 70412908210 140825816420 281651632840 302775505303 605551010606 1211102021212 1513877526515 2422204042424 3027755053030 6055510106060 12111020212120