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201122120220012 = 223329631101767411
BaseRepresentation
bin101101101110101101100100…
…100010000011110101101100
3222101010002100100210102122000
4231232231210202003311230
5202330141100234020022
61551430120532052300
760235410425646435
oct5556554442036554
9871102310712560
10201122120220012
11590a1459692002
121a682993164090
13882b971a8c224
143794510c0448c
15183b9ab9b96ac
hexb6eb64883d6c

201122120220012 has 96 divisors (see below), whose sum is σ = 540262836825600. Its totient is φ = 64626376046400.

The previous prime is 201122120219971. The next prime is 201122120220019. The reversal of 201122120220012 is 210022021221102.

It is a happy number.

201122120220012 is a `hidden beast` number, since 20 + 11 + 221 + 202 + 200 + 12 = 666.

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 (201122120220019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48907414 + ... + 52859997.

It is an arithmetic number, because the mean of its divisors is an integer number (5627737883600).

Almost surely, 2201122120220012 is an apocalyptic number.

It is an amenable number.

201122120220012 is an abundant number, since it is smaller than the sum of its proper divisors (339140716605588).

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

201122120220012 is a wasteful number, since it uses less digits than its factorization.

201122120220012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101768084 (or 101768076 counting only the distinct ones).

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

Adding to 201122120220012 its reverse (210022021221102), we get a palindrome (411144141441114).

The spelling of 201122120220012 in words is "two hundred one trillion, one hundred twenty-two billion, one hundred twenty million, two hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 522 631 783 1044 1262 1566 1893 2524 3132 3786 5679 7572 11358 17037 18299 22716 34074 36598 54897 68148 73196 109794 164691 219588 329382 494073 658764 988146 1976292 101767411 203534822 305302233 407069644 610604466 915906699 1221208932 1831813398 2747720097 2951254919 3663626796 5495440194 5902509838 8853764757 10990880388 11805019676 17707529514 26561294271 35415059028 53122588542 64215236341 79683882813 106245177084 128430472682 159367765626 192645709023 256860945364 318735531252 385291418046 577937127069 770582836092 1155874254138 1733811381207 1862241853889 2311748508276 3467622762414 3724483707778 5586725561667 6935245524828 7448967415556 11173451123334 16760176685001 22346902246668 33520353370002 50280530055003 67040706740004 100561060110006 201122120220012