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12303122101221 = 3723313978212521
BaseRepresentation
bin1011001100001000101100…
…1110001111001111100101
31121120011111201210022021010
42303002023032033033211
53103033243224214341
642055550512412433
72406604556242650
oct263021316171745
947504451708233
1012303122101221
113a137a7758a46
121468516847119
136b32442b4163
1430768d62c897
15165074741716
hexb308b38f3e5

12303122101221 has 128 divisors (see below), whose sum is σ = 20277348728832. Its totient is φ = 6480891648000.

The previous prime is 12303122101201. The next prime is 12303122101429. The reversal of 12303122101221 is 12210122130321.

It is not a de Polignac number, because 12303122101221 - 218 = 12303121839077 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12303122101201) 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 127 ways as a sum of consecutive naturals, for example, 4880253441 + ... + 4880255961.

It is an arithmetic number, because the mean of its divisors is an integer number (158416786944).

Almost surely, 212303122101221 is an apocalyptic number.

It is an amenable number.

12303122101221 is a deficient number, since it is larger than the sum of its proper divisors (7974226627611).

12303122101221 is a wasteful number, since it uses less digits than its factorization.

12303122101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3803.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 12303122101221 its reverse (12210122130321), we get a palindrome (24513244231542).

The spelling of 12303122101221 in words is "twelve trillion, three hundred three billion, one hundred twenty-two million, one hundred one thousand, two hundred twenty-one".

Divisors: 1 3 7 21 23 31 69 93 161 217 397 483 651 713 821 1191 2139 2463 2521 2779 4991 5747 7563 8337 9131 12307 14973 17241 17647 18883 25451 27393 36921 52941 56649 57983 63917 76353 78151 86149 132181 173949 178157 191751 234453 258447 283061 325937 396543 405881 534471 547057 585373 849183 977811 1000837 1217643 1641171 1756119 1797473 1981427 2069741 2281559 3002511 4097611 5392419 5944281 6209223 6844677 7005859 7496551 10104047 12292833 12582311 14488187 21017577 22489653 23019251 30312141 31025947 37746933 43464561 47604043 52475857 64161971 69057753 70728329 93077841 142812129 157427571 161134757 192485913 212184987 217181629 232393081 333228301 449133797 483404271 651544887 697179243 713596781 821687177 999684903 1347401391 1475725333 1626751567 2140790343 2465061531 4427175999 4880254701 4995177467 5751810239 10330077331 14985532401 17255430717 18898805071 25472302487 30990231993 56696415213 76416907461 132291635497 178306117409 396874906491 534918352227 585862957201 1757588871603 4101040700407 12303122101221