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21201220000212 = 2237259611127061
BaseRepresentation
bin1001101001000010010110…
…01011111101100111010100
32210001211001110211001022020
410310201023023331213110
510234330044310001322
6113031412255333140
74315510665402600
oct464411313754724
983054043731266
1021201220000212
116834428a8036a
122464b318211b0
13baa360576455
14534204800500
1526b75bc0d05c
hex13484b2fd9d4

21201220000212 has 72 divisors (see below), whose sum is σ = 58521527457120. Its totient is φ = 5954822072640.

The previous prime is 21201220000211. The next prime is 21201220000217. The reversal of 21201220000212 is 21200002210212.

It is a junction number, because it is equal to n+sod(n) for n = 21201220000191 and 21201220000200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21201220000211) 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 23 ways as a sum of consecutive naturals, for example, 305528839 + ... + 305598222.

It is an arithmetic number, because the mean of its divisors is an integer number (812798992460).

Almost surely, 221201220000212 is an apocalyptic number.

It is an amenable number.

21201220000212 is an abundant number, since it is smaller than the sum of its proper divisors (37320307456908).

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

21201220000212 is a wasteful number, since it uses less digits than its factorization.

21201220000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611127141 (or 611127132 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 21201220000212 its reverse (21200002210212), we get a palindrome (42401222210424).

The spelling of 21201220000212 in words is "twenty-one trillion, two hundred one billion, two hundred twenty million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 59 84 98 118 147 177 196 236 294 354 413 588 708 826 1239 1652 2478 2891 4956 5782 8673 11564 17346 34692 611127061 1222254122 1833381183 2444508244 3666762366 4277889427 7333524732 8555778854 12833668281 17111557708 25667336562 29945225989 36056496599 51334673124 59890451978 72112993198 89835677967 108169489797 119780903956 144225986396 179671355934 216338979594 252395476193 359342711868 432677959188 504790952386 757186428579 1009581904772 1514372857158 1766768333351 3028745714316 3533536666702 5300305000053 7067073333404 10600610000106 21201220000212