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21201122201112 = 2332726009388379
BaseRepresentation
bin1001101001000010001010…
…10110111000111000011000
32210001210210122210100011100
410310201011112320320120
510234324344240413422
6113031354443231400
74315505400205200
oct464410526707030
983053718710140
1021201122201112
116834388852467
122464b04b18560
13baa346223669
145341d5823400
1526b7533407ac
hex1348455b8e18

21201122201112 has 72 divisors (see below), whose sum is σ = 66794351843700. Its totient is φ = 6057463485024.

The previous prime is 21201122201099. The next prime is 21201122201113. The reversal of 21201122201112 is 21110222110212.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21201122201113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3004690662 + ... + 3004697717.

Almost surely, 221201122201112 is an apocalyptic number.

It is an amenable number.

21201122201112 is an abundant number, since it is smaller than the sum of its proper divisors (45593229642588).

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

21201122201112 is a wasteful number, since it uses less digits than its factorization.

21201122201112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6009388405 (or 6009388391 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21201122201112 its reverse (21110222110212), we get a palindrome (42311344311324).

The spelling of 21201122201112 in words is "twenty-one trillion, two hundred one billion, one hundred twenty-two million, two hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 6009388379 12018776758 18028165137 24037553516 36056330274 42065718653 48075107032 54084495411 72112660548 84131437306 108168990822 126197155959 144225321096 168262874612 216337981644 252394311918 294460030571 336525749224 378591467877 432675963288 504788623836 588920061142 757182935754 883380091713 1009577247672 1177840122284 1514365871508 1766760183426 2355680244568 2650140275139 3028731743016 3533520366852 5300280550278 7067040733704 10600561100556 21201122201112