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12322331011221 = 37112314942136973
BaseRepresentation
bin1011001101010000010000…
…1010011010100010010101
31121122000002102202001001020
42303110010022122202111
53103342113214324341
642112444542151353
72411154564263010
oct263240412324225
947560072661036
1012322331011221
113a20964682380
121470197882559
136b4cb5b085aa
14308592828377
151657eace5566
hexb350429a895

12322331011221 has 128 divisors (see below), whose sum is σ = 21569625907200. Its totient is φ = 6067193932800.

The previous prime is 12322331011183. The next prime is 12322331011259. The reversal of 12322331011221 is 12211013322321.

It is an interprime number because it is at equal distance from previous prime (12322331011183) and next prime (12322331011259).

It is a de Polignac number, because none of the positive numbers 2k-12322331011221 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12322331011191 and 12322331011200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12322331011261) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 333260691 + ... + 333297663.

It is an arithmetic number, because the mean of its divisors is an integer number (168512702400).

Almost surely, 212322331011221 is an apocalyptic number.

12322331011221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12322331011221 is a deficient number, since it is larger than the sum of its proper divisors (9247294895979).

12322331011221 is a wasteful number, since it uses less digits than its factorization.

12322331011221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37587.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 12322331011221 its reverse (12211013322321), we get a palindrome (24533344333542).

The spelling of 12322331011221 in words is "twelve trillion, three hundred twenty-two billion, three hundred thirty-one million, eleven thousand, two hundred twenty-one".

Divisors: 1 3 7 11 21 23 33 69 77 149 161 231 253 421 447 483 759 1043 1263 1639 1771 2947 3129 3427 4631 4917 5313 8841 9683 10281 11473 13893 23989 29049 32417 34419 36973 37697 62729 67781 71967 97251 106513 110919 113091 188187 203343 258811 263879 319539 406703 439103 690019 745591 776433 791637 850379 1220109 1317309 1442767 2070057 2236773 2551137 2846921 4328301 4830133 5508977 5952653 8540763 9354169 10099369 14490399 15565633 15870437 16526931 17857959 28062507 30298107 38562839 46696899 47611311 60598747 65479183 108959431 111093059 115688517 126706471 171221963 181796241 196437549 326878293 333279177 358009559 380119413 424191229 513665889 886945297 1074028677 1198553741 1272573687 1393771181 2319279317 2506066913 2660835891 3595661223 3938105149 4181313543 6957837951 7518200739 9756398267 11814315447 16234955219 25512072487 27566736043 29269194801 48704865657 53343424291 76536217461 82700208129 160030272873 178584507409 373403970037 535753522227 586777667201 1120211910111 1760333001603 4107443670407 12322331011221