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22022120201200 = 2452733152345433
BaseRepresentation
bin1010000000111011011001…
…01001101101101111110000
32212222021221102101000010221
411000131230221231233300
510341302300232414300
6114500453343502424
74432021445105320
oct500355451555760
985867842330127
1022022120201200
11702058a813439
12257804b5b7a14
13c398a5564752
14561c3a81b280
15282ca4cd731a
hex14076ca6dbf0

22022120201200 has 240 divisors, whose sum is σ = 60766429517056. Its totient is φ = 7513071667200.

The previous prime is 22022120201141. The next prime is 22022120201203. The reversal of 22022120201200 is 210202122022.

It is a super-2 number, since 2×220221202012002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22022120201203) 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, 484693684 + ... + 484739116.

Almost surely, 222022120201200 is an apocalyptic number.

22022120201200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22022120201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30383214758528).

22022120201200 is an abundant number, since it is smaller than the sum of its proper divisors (38744309315856).

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

22022120201200 is a wasteful number, since it uses less digits than its factorization.

22022120201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46312 (or 46301 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 22022120201200 its reverse (210202122022), we get a palindrome (22232322323222).

The spelling of 22022120201200 in words is "twenty-two trillion, twenty-two billion, one hundred twenty million, two hundred one thousand, two hundred".