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22022120021121 = 32111491697879743
BaseRepresentation
bin1010000000111011011001…
…01001000001110010000001
32212222021221102000212010100
411000131230221001302001
510341302300211133441
6114500453335553013
74432021443425313
oct500355451016201
985867842025110
1022022120021121
11702058a700110
12257804b52b769
13c398a55007ac
14561c3a7b17b3
15282ca4c9dcb6
hex14076ca41c81

22022120021121 has 48 divisors (see below), whose sum is σ = 34955044300800. Its totient is φ = 13249336796160.

The previous prime is 22022120021093. The next prime is 22022120021129. The reversal of 22022120021121 is 12112002122022.

It is a happy number.

22022120021121 is a `hidden beast` number, since 220 + 2 + 212 + 0 + 0 + 211 + 21 = 666.

It is not a de Polignac number, because 22022120021121 - 27 = 22022120020993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22022120021094 and 22022120021103.

It is not an unprimeable number, because it can be changed into a prime (22022120021129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24592576 + ... + 25472318.

It is an arithmetic number, because the mean of its divisors is an integer number (728230089600).

Almost surely, 222022120021121 is an apocalyptic number.

It is an amenable number.

22022120021121 is a deficient number, since it is larger than the sum of its proper divisors (12932924279679).

22022120021121 is a wasteful number, since it uses less digits than its factorization.

22022120021121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881606 (or 881603 counting only the distinct ones).

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

Adding to 22022120021121 its reverse (12112002122022), we get a palindrome (34134122143143).

The spelling of 22022120021121 in words is "twenty-two trillion, twenty-two billion, one hundred twenty million, twenty-one thousand, one hundred twenty-one".

Divisors: 1 3 9 11 33 99 149 447 1341 1639 1697 4917 5091 14751 15273 18667 56001 168003 252853 758559 879743 2275677 2639229 2781383 7917687 8344149 9677173 25032447 29031519 87094557 131081707 393245121 1179735363 1441898777 1492923871 4325696331 4478771613 12977088993 13436314839 16422162581 49266487743 147799463229 222445656779 667336970337 2002010911011 2446902224569 7340706673707 22022120021121