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220111021212012 = 223272891402016747
BaseRepresentation
bin110010000011000010010111…
…001110110000000101101100
31001212100102000112002111010100
4302003002113032300011230
5212322244332412241022
62100045335053311100
764235332204145400
oct6203022716600554
91055312015074110
10220111021212012
1164152618212167
122082aba7795490
1395a84c34c5978
143c4d604935100
151a6a8d59de1ac
hexc830973b016c

220111021212012 has 108 divisors (see below), whose sum is σ = 654503478468840. Its totient is φ = 62182246718592.

The previous prime is 220111021212011. The next prime is 220111021212031. The reversal of 220111021212012 is 210212120111022.

220111021212012 is a `hidden beast` number, since 220 + 1 + 110 + 212 + 120 + 1 + 2 = 666.

It is a super-2 number, since 2×2201110212120122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (220111021212011) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 700851378 + ... + 701165369.

It is an arithmetic number, because the mean of its divisors is an integer number (6060217393230).

Almost surely, 2220111021212012 is an apocalyptic number.

It is an amenable number.

220111021212012 is an abundant number, since it is smaller than the sum of its proper divisors (434392457256828).

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

220111021212012 is a wasteful number, since it uses less digits than its factorization.

220111021212012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402016860 (or 1402016848 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 220111021212012 its reverse (210212120111022), we get a palindrome (430323141323034).

The spelling of 220111021212012 in words is "two hundred twenty trillion, one hundred eleven billion, twenty-one million, two hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 89 98 126 147 178 196 252 267 294 356 441 534 588 623 801 882 1068 1246 1602 1764 1869 2492 3204 3738 4361 5607 7476 8722 11214 13083 17444 22428 26166 39249 52332 78498 156996 1402016747 2804033494 4206050241 5608066988 8412100482 9814117229 12618150723 16824200964 19628234458 25236301446 29442351687 39256468916 50472602892 58884703374 68698820603 88327055061 117769406748 124779490483 137397641206 176654110122 206096461809 249558980966 274795282412 353308220244 374338471449 412192923618 499117961932 618289385427 748676942898 824385847236 873456433381 1123015414347 1236578770854 1497353885796 1746912866762 2246030828694 2473157541708 2620369300143 3493825733524 4492061657388 5240738600286 6114195033667 7861107900429 10481477200572 12228390067334 15722215800858 18342585101001 24456780134668 31444431601716 36685170202002 55027755303003 73370340404004 110055510606006 220111021212012