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12220332201 = 32711219139607
BaseRepresentation
bin10110110000110001…
…10111100010101001
31011112122201012022100
423120120313202221
5200011401112301
65340340044013
7611555052450
oct133030674251
934478635270
1012220332201
115201071500
122450693609
1311c99ba4cc
1483cdb3b97
154b7c94286
hex2d86378a9

12220332201 has 144 divisors (see below), whose sum is σ = 23547596800. Its totient is φ = 5961003840.

The previous prime is 12220332197. The next prime is 12220332221. The reversal of 12220332201 is 10223302221.

12220332201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12220332201 - 22 = 12220332197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12220332221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20132040 + ... + 20132646.

Almost surely, 212220332201 is an apocalyptic number.

12220332201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12220332201 is a deficient number, since it is larger than the sum of its proper divisors (11327264599).

12220332201 is a wasteful number, since it uses less digits than its factorization.

12220332201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12220332201 its reverse (10223302221), we get a palindrome (22443634422).

The spelling of 12220332201 in words is "twelve billion, two hundred twenty million, three hundred thirty-two thousand, two hundred one".

Divisors: 1 3 7 9 11 19 21 33 57 63 77 99 121 133 139 171 209 231 363 399 417 607 627 693 847 973 1089 1197 1251 1463 1529 1821 1881 2299 2541 2641 2919 4249 4389 4587 5463 6677 6897 7623 7923 8757 10703 11533 12747 13167 13761 16093 16819 18487 20031 20691 23769 29051 32109 34599 38241 46739 48279 50457 55461 60093 73447 80731 84373 87153 96327 103797 117733 126863 140217 144837 151371 166383 203357 220341 242193 253119 261459 319561 353199 380589 420651 514129 590611 610071 661023 726579 759357 888041 928103 958683 1059597 1141767 1395493 1542387 1603087 1771833 1830213 2236927 2664123 2784309 2876049 4186479 4627161 4809261 5315499 6496721 6710781 7992369 8352927 9768451 10209133 11221609 12559437 14427783 17633957 19490163 20132343 29305353 30627399 33664827 52901871 58470489 71463931 87916059 91882197 100994481 123437699 158705613 193973527 214391793 370313097 581920581 643175379 1110939291 1357814689 1745761743 4073444067 12220332201