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201121220200212 = 2232136432308728949
BaseRepresentation
bin101101101110101100101110…
…111000110000011100010100
3222101010000000122020200120100
4231232230232320300130110
5202330132224332401322
61551425451341334100
760235346216626134
oct5556545670603424
9871100018220510
10201121220200212
11590a1037646894
121a682781867330
13882b85a489830
143794467480ac4
15183b957986dac
hexb6eb2ee30714

201121220200212 has 144 divisors (see below), whose sum is σ = 548390821305600. Its totient is φ = 61782400076544.

The previous prime is 201121220200207. The next prime is 201121220200223. The reversal of 201121220200212 is 212002022121102.

It is a happy number.

201121220200212 is a `hidden beast` number, since 2 + 0 + 11 + 21 + 220 + 200 + 212 = 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, 6947417914 + ... + 6947446862.

It is an arithmetic number, because the mean of its divisors is an integer number (3808269592400).

Almost surely, 2201121220200212 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 201121220200212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274195410652800).

201121220200212 is an abundant number, since it is smaller than the sum of its proper divisors (347269601105388).

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

201121220200212 is a wasteful number, since it uses less digits than its factorization.

201121220200212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52702 (or 52697 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 201121220200212 its reverse (212002022121102), we get a palindrome (413123242321314).

The spelling of 201121220200212 in words is "two hundred one trillion, one hundred twenty-one billion, two hundred twenty million, two hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 643 1286 1929 2572 3858 5787 7716 8359 11574 16718 23087 23148 25077 28949 33436 46174 50154 57898 69261 75231 86847 92348 100308 115796 138522 150462 173694 207783 260541 277044 300131 300924 347388 376337 415566 521082 600262 752674 831132 900393 1042164 1129011 1200524 1505348 1800786 2258022 2701179 3387033 3601572 4516044 5402358 6774066 10804716 13548132 14844941 18614207 29689882 37228414 44534823 55842621 59379764 74456828 89069646 111685242 133604469 167527863 178139292 192984233 223370484 241984691 267208938 335055726 385968466 483969382 534417876 578952699 668345563 670111452 725954073 771936932 967938764 1157905398 1336691126 1451908146 1736858097 2005036689 2177862219 2315810796 2673382252 2903816292 3473716194 4010073378 4355724438 6015110067 6947432388 8020146756 8688492319 8711448876 12030220134 17376984638 24060440268 26065476957 34753969276 52130953914 78196430871 104261907828 156392861742 312785723484 429746197009 859492394018 1289238591027 1718984788036 2578477182054 3867715773081 5156954364108 5586700561117 7735431546162 11173401122234 15470863092324 16760101683351 22346802244468 33520203366702 50280305050053 67040406733404 100560610100106 201121220200212