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12211020010002 = 23111719988761657
BaseRepresentation
bin1011000110110001100110…
…0000101001001000010010
31121020100202222110022002110
42301230121200221020102
53100031132110310002
641545355401130150
72400134313342402
oct261543140511022
947210688408073
1012211020010002
113988734500690
1214526b1a89956
136a7656b21228
1430303349c802
15162983a87e6c
hexb1b19829212

12211020010002 has 128 divisors (see below), whose sum is σ = 28383594393600. Its totient is φ = 3461180405760.

The previous prime is 12211020009989. The next prime is 12211020010037. The reversal of 12211020010002 is 20001002011221.

It is a self number, because there is not a number n which added to its sum of digits gives 12211020010002.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 198016758 + ... + 198078414.

It is an arithmetic number, because the mean of its divisors is an integer number (221746831200).

Almost surely, 212211020010002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12211020010002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14191797196800).

12211020010002 is an abundant number, since it is smaller than the sum of its proper divisors (16172574383598).

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

12211020010002 is a wasteful number, since it uses less digits than its factorization.

12211020010002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62776.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12211020010002 its reverse (20001002011221), we get a palindrome (32212022021223).

The spelling of 12211020010002 in words is "twelve trillion, two hundred eleven billion, twenty million, ten thousand, two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 199 374 398 561 597 887 1122 1194 1774 2189 2661 3383 4378 5322 6567 6766 9757 10149 13134 15079 19514 20298 29271 30158 37213 45237 58542 61657 74426 90474 111639 123314 165869 176513 184971 223278 331738 353026 369942 497607 529539 678227 995214 1048169 1059078 1356454 1941643 2034681 2096338 3000721 3144507 3883286 4069362 5824929 6001442 6289014 9002163 11529859 11649858 12269743 18004326 23059718 24539486 33007931 34589577 36809229 54689759 66015862 69179154 73618458 99023793 109379518 134967173 164069277 198047586 208585631 269934346 328138554 404901519 417171262 601587349 625756893 809803038 929725903 1203174698 1251513786 1804762047 1859451806 2294441941 2789177709 3609524094 4588883882 5578355418 6883325823 10226984933 10883262041 13766651646 20453969866 21766524082 30680954799 32649786123 61361909598 65299572246 119715882451 185015454697 239431764902 359147647353 370030909394 555046364091 718295294706 1110092728182 2035170001667 4070340003334 6105510005001 12211020010002