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12122411422121 = 7111367181998623
BaseRepresentation
bin1011000001100111100000…
…0001101101000110101001
31120220220001200202122120022
42300121320001231012221
53042103144311001441
641440543043410225
72360546440643060
oct260317001550651
946826050678508
1012122411422121
1139540a4243070
1214394a3083975
1369c1a5361840
142dca292b91d7
151604e995684b
hexb067806d1a9

12122411422121 has 64 divisors (see below), whose sum is σ = 16610456518656. Its totient is φ = 8541813139200.

The previous prime is 12122411422087. The next prime is 12122411422123.

12122411422121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12122411422121 - 238 = 11847533515177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12122411422123) 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 63 ways as a sum of consecutive naturals, for example, 11639816 + ... + 12638438.

It is an arithmetic number, because the mean of its divisors is an integer number (259538383104).

Almost surely, 212122411422121 is an apocalyptic number.

12122411422121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12122411422121 is a deficient number, since it is larger than the sum of its proper divisors (4488045096535).

12122411422121 is a wasteful number, since it uses less digits than its factorization.

12122411422121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998902.

The product of its digits is 1024, while the sum is 26.

It can be divided in two parts, 1212241 and 1422121, that added together give a palindrome (2634362).

The spelling of 12122411422121 in words is "twelve trillion, one hundred twenty-two billion, four hundred eleven million, four hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 7 11 13 67 77 91 143 181 469 737 871 1001 1267 1991 2353 5159 6097 9581 12127 13937 16471 25883 67067 84889 133397 157651 181181 933779 998623 1103557 1734161 6990361 10984853 12139127 12982099 66907741 76893971 90874693 142803089 180750763 468354187 735985151 869800633 999621623 1265255341 1988258393 2349759919 5151896057 6088604431 9567806963 12110301121 13917808751 16448319433 25847359109 66974648741 84772107847 133213312331 157433914573 180931513763 932493186317 1102037402011 1731773060303 12122411422121