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12012231331221 = 3113174123918059
BaseRepresentation
bin1010111011001101000011…
…0010000000110110010101
31120112100200001111002220220
42232303100302000312111
53033302022210044341
641314202021544553
72346566201425212
oct256632062006625
946470601432826
1012012231331221
1139113a4479000
121420073b75159
1369199675b594
142d7576216b09
1515c6ebb38a66
hexaecd0c80d95

12012231331221 has 128 divisors (see below), whose sum is σ = 19188978278400. Its totient is φ = 6656438835200.

The previous prime is 12012231331207. The next prime is 12012231331223. The reversal of 12012231331221 is 12213313221021.

It is not a de Polignac number, because 12012231331221 - 217 = 12012231200149 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12012231331191 and 12012231331200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12012231331223) 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, 665156890 + ... + 665174948.

It is an arithmetic number, because the mean of its divisors is an integer number (149913892800).

Almost surely, 212012231331221 is an apocalyptic number.

12012231331221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12012231331221 is a deficient number, since it is larger than the sum of its proper divisors (7176746947179).

12012231331221 is a wasteful number, since it uses less digits than its factorization.

12012231331221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18392 (or 18370 counting only the distinct ones).

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

Adding to 12012231331221 its reverse (12213313221021), we get a palindrome (24225544552242).

The spelling of 12012231331221 in words is "twelve trillion, twelve billion, two hundred thirty-one million, three hundred thirty-one thousand, two hundred twenty-one".

Divisors: 1 3 11 17 33 41 51 121 123 187 239 363 451 561 697 717 1331 1353 2057 2091 2629 3993 4063 4961 6171 7667 7887 9799 12189 14883 18059 22627 23001 28919 29397 44693 54177 54571 67881 84337 86757 107789 134079 163713 166583 198649 253011 307003 318109 323367 491623 499749 595947 740419 921009 927707 954327 1185679 1474869 1832413 2185139 2221257 2783121 3377033 3557037 4316101 5407853 5497239 6555417 8144609 10131099 12587123 12948303 13042469 16223559 20156543 24036529 24433827 37147363 37761369 39127407 47477111 60469629 72109587 73373717 89590699 111442089 138458353 142431333 176960141 220121151 221721973 268772097 408620993 415375059 522248221 530880423 665165919 807110887 985497689 1225862979 1523041883 1566744663 1946561551 2421332661 2956493067 3008322397 4569125649 5744730431 5839684653 8878219757 9024967191 16753460713 17234191293 21412177061 26634659271 33091546367 50260382139 64236531183 97660417327 99274639101 235533947671 292981251981 364007010037 706601843013 1092021030111 4004077110407 12012231331221