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201222020011212 = 223237534483635809
BaseRepresentation
bin101101110000001010100111…
…000001100001010011001100
3222101110122012112212122020200
4231300022213001201103030
5202333310144110324322
61551544041515213500
760245545145113134
oct5560124701412314
9871418175778220
10201222020011212
115912a8634a3812
121a69a213447290
1388382028b4105
1437992aa81bac4
15183e3a700c8ac
hexb702a70614cc

201222020011212 has 144 divisors (see below), whose sum is σ = 532367710973280. Its totient is φ = 64015468867584.

The previous prime is 201222020011169. The next prime is 201222020011241. The reversal of 201222020011212 is 212110020222102.

It is a happy number.

201222020011212 is a `hidden beast` number, since 20 + 1 + 2 + 220 + 200 + 11 + 212 = 666.

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

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, 316163964 + ... + 316799772.

It is an arithmetic number, because the mean of its divisors is an integer number (3696997992870).

Almost surely, 2201222020011212 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 201222020011212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266183855486640).

201222020011212 is an abundant number, since it is smaller than the sum of its proper divisors (331145690962068).

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

201222020011212 is a wasteful number, since it uses less digits than its factorization.

201222020011212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640392 (or 640387 counting only the distinct ones).

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

Adding to 201222020011212 its reverse (212110020222102), we get a palindrome (413332040233314).

The spelling of 201222020011212 in words is "two hundred one trillion, two hundred twenty-two billion, twenty million, eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 53 74 106 111 148 159 212 222 318 333 444 477 636 666 954 1332 1908 1961 3922 4483 5883 7844 8966 11766 13449 17649 17932 23532 26898 35298 40347 53796 70596 80694 161388 165871 237599 331742 475198 497613 635809 663484 712797 950396 995226 1271618 1425594 1492839 1907427 1990452 2138391 2543236 2851188 2985678 3814854 4276782 5722281 5971356 7629708 8553564 8791163 11444562 17582326 22889124 23524933 26373489 33697877 35164652 47049866 52746978 67395754 70574799 79120467 94099732 101093631 105493956 134791508 141149598 158240934 202187262 211724397 282299196 303280893 316481868 404374524 423448794 606561786 846897588 1213123572 1246821449 2493642898 2850331747 3740464347 4987285796 5700663494 7480928694 8550995241 11221393041 11401326988 14961857388 17101990482 22442786082 25652985723 34203980964 44885572164 51305971446 102611942892 105462274639 151067582591 210924549278 302135165182 316386823917 421849098556 453202747773 604270330364 632773647834 906405495546 949160471751 1265547295668 1359608243319 1812810991092 1898320943502 2719216486638 3796641887004 5438432973276 5589500555867 11179001111734 16768501667601 22358002223468 33537003335202 50305505002803 67074006670404 100611010005606 201222020011212