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21222220002012 = 223279163227201673
BaseRepresentation
bin1001101001101001011101…
…11000100111001011011100
32210010211021000000200010200
410310310232320213023130
510240201101310031022
6113045204150303500
74320153252435621
oct464645670471334
983124230020120
1021222220002012
116842324a24557
122469012657b90
13bac32918c013
14535237834348
1526c08a65abac
hex134d2ee272dc

21222220002012 has 144 divisors (see below), whose sum is σ = 54898437834240. Its totient is φ = 6911063887104.

The previous prime is 21222220001993. The next prime is 21222220002029. The reversal of 21222220002012 is 21020002222212.

21222220002012 is a `hidden beast` number, since 21 + 222 + 220 + 0 + 0 + 201 + 2 = 666.

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

It is a congruent number.

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, 105130008 + ... + 105331680.

Almost surely, 221222220002012 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 21222220002012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27449218917120).

21222220002012 is an abundant number, since it is smaller than the sum of its proper divisors (33676217832228).

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

21222220002012 is a wasteful number, since it uses less digits than its factorization.

21222220002012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202152 (or 202147 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 21222220002012 its reverse (21020002222212), we get a palindrome (42242222224224).

The spelling of 21222220002012 in words is "twenty-one trillion, two hundred twenty-two billion, two hundred twenty million, two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 163 227 237 316 326 454 474 489 652 681 711 908 948 978 1362 1422 1467 1956 2043 2724 2844 2934 4086 5868 8172 12877 17933 25754 35866 37001 38631 51508 53799 71732 74002 77262 107598 111003 115893 148004 154524 161397 201673 215196 222006 231786 322794 333009 403346 444012 463572 605019 645588 666018 806692 1210038 1332036 1815057 2420076 2923079 3630114 5846158 7260228 8769237 11692316 15932167 17538474 26307711 31864334 32872699 35076948 45779771 47796501 52615422 63728668 65745398 91559542 95593002 98618097 105230844 131490796 137339313 143389503 183119084 191186004 197236194 274678626 286779006 295854291 394472388 412017939 549357252 573558012 591708582 824035878 1183417164 1648071756 2596943221 3616601909 5193886442 7233203818 7462102673 7790829663 10387772884 10849805727 14466407636 14924205346 15581659326 21699611454 22386308019 23372488989 29848410692 31163318652 32549417181 43399222908 44772616038 46744977978 65098834362 67158924057 89545232076 93489955956 130197668724 134317848114 268635696228 589506111167 1179012222334 1768518333501 2358024444668 3537036667002 5305555000503 7074073334004 10611110001006 21222220002012