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20002121233122 = 2373411024323143
BaseRepresentation
bin1001000110001000110110…
…10101001011001011100010
32121211011222012221022110110
410203010123111023023202
510110203321013424442
6110312503031312150
74133051132142000
oct443043325131342
977734865838413
1020002121233122
116411940a88966
1222b0665b1b656
13b212658c7372
144d2171c73a70
1524a47b1e469c
hex12311b54b2e2

20002121233122 has 128 divisors (see below), whose sum is σ = 47796766617600. Its totient is φ = 5574718961280.

The previous prime is 20002121233099. The next prime is 20002121233177. The reversal of 20002121233122 is 22133212120002.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 864272283 + ... + 864295425.

It is an arithmetic number, because the mean of its divisors is an integer number (373412239200).

Almost surely, 220002121233122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20002121233122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23898383308800).

20002121233122 is an abundant number, since it is smaller than the sum of its proper divisors (27794645384478).

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

20002121233122 is a wasteful number, since it uses less digits than its factorization.

20002121233122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33453 (or 33439 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 20002121233122 its reverse (22133212120002), we get a palindrome (42135333353124).

The spelling of 20002121233122 in words is "twenty trillion, two billion, one hundred twenty-one million, two hundred thirty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 41 42 49 82 98 123 147 246 287 294 343 574 686 861 1029 1722 2009 2058 4018 6027 10243 12054 14063 20486 23143 28126 30729 42189 46286 61458 69429 71701 84378 138858 143402 162001 215103 324002 419963 430206 486003 501907 839926 948863 972006 1003814 1134007 1259889 1505721 1897726 2268014 2519778 2846589 2939741 3011442 3402021 3513349 5693178 5879482 6642041 6804042 7026698 7938049 8819223 10540047 13284082 15876098 17638446 19926123 20578187 21080094 23814147 39852246 41156374 46494287 47628294 61734561 92988574 123469122 139482861 144047309 237053749 278965722 288094618 325460009 432141927 474107498 650920018 711161247 864283854 976380027 1422322494 1659376243 1952760054 3318752486 4978128729 9719203709 9956257458 11615633701 19438407418 23231267402 29157611127 34846901103 58315222254 68034425963 69693802206 81309435907 136068851926 162618871814 204103277889 243928307721 408206555778 476240981741 487856615442 952481963482 1428722945223 2857445890446 3333686872187 6667373744374 10001060616561 20002121233122