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201212101221012 = 2232723927671207387
BaseRepresentation
bin101101110000000001010111…
…110100010101101010010100
3222101102200121021220220000200
4231300001113310111222110
5202333124340403033022
61551535321353140500
760245044304563350
oct5560012764255224
9871380537826020
10201212101221012
1159126633606942
121a6983056ba730
1388372b198b89b
143798a09398460
15183dec6341bac
hexb70057d15a94

201212101221012 has 144 divisors (see below), whose sum is σ = 583922973204480. Its totient is φ = 57227894127936.

The previous prime is 201212101221011. The next prime is 201212101221037. The reversal of 201212101221012 is 210122101212102.

201212101221012 is a `hidden beast` number, since 201 + 21 + 210 + 1 + 221 + 0 + 12 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201212101221011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 166047183 + ... + 167254569.

Almost surely, 2201212101221012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201212101221012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291961486602240).

201212101221012 is an abundant number, since it is smaller than the sum of its proper divisors (382710871983468).

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

201212101221012 is a wasteful number, since it uses less digits than its factorization.

201212101221012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210410 (or 1210405 counting only the distinct ones).

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

Adding to 201212101221012 its reverse (210122101212102), we get a palindrome (411334202433114).

The spelling of 201212101221012 in words is "two hundred one trillion, two hundred twelve billion, one hundred one million, two hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 239 252 478 717 956 1434 1673 2151 2767 2868 3346 4302 5019 5534 6692 8301 8604 10038 11068 15057 16602 19369 20076 24903 30114 33204 38738 49806 58107 60228 77476 99612 116214 174321 232428 348642 661313 697284 1207387 1322626 1983939 2414774 2645252 3622161 3967878 4629191 4829548 5951817 7244322 7935756 8451709 9258382 10866483 11903634 13887573 14488644 16903418 18516764 21732966 23807268 25355127 27775146 33806836 41662719 43465932 50710254 55550292 76065381 83325438 101420508 152130762 166650876 288565493 304261524 577130986 865696479 1154261972 1731392958 2019958451 2597089437 3340839829 3462785916 4039916902 5194178874 6059875353 6681679658 8079833804 10022519487 10388357748 12119750706 13363359316 18179626059 20045038974 23385878803 24239501412 30067558461 36359252118 40090077948 46771757606 60135116922 70157636409 72718504236 93543515212 120270233844 140315272818 210472909227 280630545636 420945818454 798460719131 841891636908 1596921438262 2395382157393 3193842876524 4790764314786 5589225033917 7186146472179 9581528629572 11178450067834 14372292944358 16767675101751 22356900135668 28744585888716 33535350203502 50303025305253 67070700407004 100606050610506 201212101221012