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12211033010022 = 23271121495375393
BaseRepresentation
bin1011000110110001101001…
…0010001110111101100110
31121020100210212220202202200
42301230122102032331212
53100031143422310042
641545400543515330
72400134532005340
oct261543222167546
947210725822680
1012211033010022
11398874087a800
1214526b62b8b46
136a7659723452
143030350c4290
15162984ca4c4c
hexb1b1a48ef66

12211033010022 has 144 divisors (see below), whose sum is σ = 33458602413600. Its totient is φ = 3150409743360.

The previous prime is 12211033010017. The next prime is 12211033010053. The reversal of 12211033010022 is 22001033011221.

12211033010022 is a `hidden beast` number, since 1 + 2 + 211 + 0 + 330 + 100 + 22 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12211033009977 and 12211033010004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 416043 + ... + 4959350.

It is an arithmetic number, because the mean of its divisors is an integer number (232351405650).

Almost surely, 212211033010022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12211033010022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16729301206800).

12211033010022 is an abundant number, since it is smaller than the sum of its proper divisors (21247569403578).

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

12211033010022 is a wasteful number, since it uses less digits than its factorization.

12211033010022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5375579 (or 5375565 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12211033010022 its reverse (22001033011221), we get a palindrome (34212066021243).

The spelling of 12211033010022 in words is "twelve trillion, two hundred eleven billion, thirty-three million, ten thousand, twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 121 126 149 154 198 231 242 298 363 447 462 693 726 847 894 1043 1089 1341 1386 1639 1694 2086 2178 2541 2682 3129 3278 4917 5082 6258 7623 9387 9834 11473 14751 15246 18029 18774 22946 29502 34419 36058 54087 68838 103257 108174 126203 162261 206514 252406 324522 378609 757218 1135827 2271654 5375393 10750786 16126179 32252358 37627751 48378537 59129323 75255502 96757074 112883253 118258646 177387969 225766506 338649759 354775938 413905261 532163907 650422553 677299518 800933557 827810522 1064327814 1241715783 1300845106 1601867114 1951267659 2402800671 2483431566 3725147349 3902535318 4552957871 4805601342 5606534899 5853802977 7208402013 7450294698 8810269127 9105915742 11213069798 11707605954 13658873613 14416804026 16819604697 17620538254 26430807381 27317747226 33639209394 40976620839 50458814091 52861614762 61671883889 79292422143 81953241678 96912960397 100917628182 123343767778 158584844286 185015651667 193825920794 290738881191 370031303334 555046955001 581477762382 678390722779 872216643573 1110093910002 1356781445558 1744433287146 2035172168337 4070344336674 6105516505011 12211033010022