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20012221122012 = 22327683243747711
BaseRepresentation
bin1001000110011011101010…
…10101001100010111011100
32121212011001002122211101100
410203031311111030113130
510110340012101401022
6110321253143113100
74133556331604130
oct443156525142734
977764032584340
1020012221122012
116416154118979
1222b2604442790
13b221b51b9892
144d284d3993c0
1524a86cc341ac
hex12337554c5dc

20012221122012 has 144 divisors (see below), whose sum is σ = 57922700838912. Its totient is φ = 5706943482240.

The previous prime is 20012221122001. The next prime is 20012221122017. The reversal of 20012221122012 is 21022112221002.

It is a happy number.

20012221122012 is a `hidden beast` number, since 200 + 1 + 22 + 211 + 220 + 12 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20012221122017) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 419422837 + ... + 419470547.

It is an arithmetic number, because the mean of its divisors is an integer number (402240978048).

Almost surely, 220012221122012 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 20012221122012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28961350419456).

20012221122012 is an abundant number, since it is smaller than the sum of its proper divisors (37910479716900).

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

20012221122012 is a wasteful number, since it uses less digits than its factorization.

20012221122012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50848 (or 50843 counting only the distinct ones).

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

Adding to 20012221122012 its reverse (21022112221002), we get a palindrome (41034333343014).

The spelling of 20012221122012 in words is "twenty trillion, twelve billion, two hundred twenty-one million, one hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 683 1366 2049 2437 2732 4098 4781 4874 6147 7311 8196 9562 9748 12294 14343 14622 17059 19124 21933 24588 28686 29244 34118 43029 43866 47711 51177 57372 68236 86058 87732 95422 102354 143133 153531 172116 190844 204708 286266 307062 333977 429399 572532 614124 667954 858798 1001931 1335908 1664471 1717596 2003862 3005793 3328942 4007724 4993413 6011586 6657884 9986826 11651297 12023172 14980239 19973652 23302594 29960478 32586613 34953891 46605188 59920956 65173226 69907782 97759839 104861673 116271707 130346452 139815564 195519678 209723346 228106291 232543414 293279517 348815121 391039356 419446692 456212582 465086828 586559034 684318873 697630242 813901949 912425164 1046445363 1173118068 1368637746 1395260484 1627803898 2052956619 2092890726 2441705847 2737275492 3255607796 4105913238 4185781452 4883411694 7325117541 8211826476 9766823388 14650235082 29300470164 79413575881 158827151762 238240727643 317654303524 476481455286 555895031167 714722182929 952962910572 1111790062334 1429444365858 1667685093501 2223580124668 2858888731716 3335370187002 5003055280503 6670740374004 10006110561006 20012221122012