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22022200121012 = 22713269523342979
BaseRepresentation
bin1010000000111011100010…
…11010100101011010110100
32212222022010222202100111222
411000131301122211122310
510341302431212333022
6114500505320445512
74432023435315560
oct500356132453264
985868128670458
1022022200121012
11702062093a373
122578072319898
13c398b8c97490
14561c472a26a0
15282cabd22242
hex1407716a56b4

22022200121012 has 96 divisors (see below), whose sum is σ = 47618965497600. Its totient is φ = 8677831698432.

The previous prime is 22022200120967. The next prime is 22022200121029. The reversal of 22022200121012 is 21012100222022.

It is a happy number.

It is a super-3 number, since 3×220222001210123 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 512372939 + ... + 512415917.

It is an arithmetic number, because the mean of its divisors is an integer number (496030890600).

Almost surely, 222022200121012 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 22022200121012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23809482748800).

22022200121012 is an abundant number, since it is smaller than the sum of its proper divisors (25596765376588).

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

22022200121012 is a wasteful number, since it uses less digits than its factorization.

22022200121012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48505 (or 48503 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 22022200121012 its reverse (21012100222022), we get a palindrome (43034300343034).

The spelling of 22022200121012 in words is "twenty-two trillion, twenty-two billion, two hundred million, one hundred twenty-one thousand, twelve".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 269 364 538 1076 1883 3497 3766 5233 6994 7532 10466 13988 20932 24479 36631 42979 48958 68029 73262 85958 97916 136058 146524 171916 272116 300853 476203 558727 601706 952406 1117454 1203412 1407677 1904812 2234908 2815354 3911089 5630708 7822178 9853739 11561351 15644356 18299801 19707478 23122702 36599602 39414956 46245404 73199204 80929457 128098607 150297563 161858914 224909107 256197214 300595126 323717828 449818214 512394428 601190252 899636428 1052082941 1574363749 2104165882 2923818391 3148727498 4208331764 5847636782 6297454996 11695273564 20466728737 40933457474 60500549783 81866914948 121001099566 242002199132 423503848481 786507147179 847007696962 1573014294358 1694015393924 3146028588716 5505550030253 11011100060506 22022200121012