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221211201102012 = 2232111750365327347
BaseRepresentation
bin110010010011000010111111…
…000011111110000010111100
31002000020120202221122121112200
4302103002333003332002330
5212443311014440231022
62102251004534431500
764410660532002522
oct6223027703760274
91060216687577480
10221211201102012
1164537164070180
1220988267802590
139658185636a14
143c8a971c68312
151a89327175bac
hexc930bf0fe0bc

221211201102012 has 144 divisors (see below), whose sum is σ = 647173473553152. Its totient is φ = 62965109168640.

The previous prime is 221211201101999. The next prime is 221211201102043. The reversal of 221211201102012 is 210201102112122.

221211201102012 is a `hidden beast` number, since 221 + 211 + 20 + 1 + 10 + 201 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29277478 + ... + 36049869.

It is an arithmetic number, because the mean of its divisors is an integer number (4494260233008).

Almost surely, 2221211201102012 is an apocalyptic number.

221211201102012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

221211201102012 is an abundant number, since it is smaller than the sum of its proper divisors (425962272451140).

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

221211201102012 is a wasteful number, since it uses less digits than its factorization.

221211201102012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65327888 (or 65327883 counting only the distinct ones).

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

Adding to 221211201102012 its reverse (210201102112122), we get a palindrome (431412303214134).

The spelling of 221211201102012 in words is "two hundred twenty-one trillion, two hundred eleven billion, two hundred one million, one hundred two thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 306 374 396 503 561 612 748 1006 1122 1509 1683 2012 2244 3018 3366 4527 5533 6036 6732 8551 9054 11066 16599 17102 18108 22132 25653 33198 34204 49797 51306 66396 76959 94061 99594 102612 153918 188122 199188 282183 307836 376244 564366 846549 1128732 1693098 3386196 65327347 130654694 195982041 261309388 391964082 587946123 718600817 783928164 1110564899 1175892246 1437201634 2155802451 2221129798 2351784492 2874403268 3331694697 4311604902 4442259596 6467407353 6663389394 8623209804 9995084091 12216213889 12934814706 13326778788 19990168182 24432427778 25869629412 32859655541 36648641667 39980336364 48864855556 65719311082 73297283334 98578966623 109945925001 131438622164 146594566668 197157933246 219891850002 295736899869 361456210951 394315866492 439783700004 558614144197 591473799738 722912421902 1084368632853 1117228288394 1182947599476 1445824843804 1675842432591 2168737265706 2234456576788 3253105898559 3351684865182 4337474531412 5027527297773 6144755586167 6506211797118 6703369730364 10055054595546 12289511172334 13012423594236 18434266758501 20110109191092 24579022344668 36868533517002 55302800275503 73737067034004 110605600551006 221211201102012