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12122141102141 = 737416919971657
BaseRepresentation
bin1011000001100110011111…
…1010100001000000111101
31120220212100212002222021012
42300121213322201000331
53042102121110232031
641440500145445005
72360536646160140
oct260314772410075
946825325088235
1012122141102141
113953a756a0724
121439428640765
1369c1613561a5
142dca01430057
151604d0d5bb2b
hexb0667ea103d

12122141102141 has 64 divisors (see below), whose sum is σ = 14619887675904. Its totient is φ = 9832919961600.

The previous prime is 12122141102021. The next prime is 12122141102207. The reversal of 12122141102141 is 14120114122121.

It is a cyclic number.

It is not a de Polignac number, because 12122141102141 - 230 = 12121067360317 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122141102641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7315714985 + ... + 7315716641.

It is an arithmetic number, because the mean of its divisors is an integer number (228435744936).

Almost surely, 212122141102141 is an apocalyptic number.

It is an amenable number.

12122141102141 is a deficient number, since it is larger than the sum of its proper divisors (2497746573763).

12122141102141 is a wasteful number, since it uses less digits than its factorization.

12122141102141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3430.

The product of its (nonzero) digits is 256, while the sum is 23.

Adding to 12122141102141 its reverse (14120114122121), we get a palindrome (26242255224262).

The spelling of 12122141102141 in words is "twelve trillion, one hundred twenty-two billion, one hundred forty-one million, one hundred two thousand, one hundred forty-one".

Divisors: 1 7 37 41 259 287 691 997 1517 1657 4837 6979 10619 11599 25567 28331 36889 40877 61309 67937 178969 198317 258223 286139 429163 475559 688927 1048247 1144987 1512449 1652029 2513669 4822489 7337729 8014909 10587143 11564203 17595683 25490299 28246007 42364519 46944467 61125073 67733189 178432093 197722049 296551633 328611269 427875511 474132323 1045102259 1141552039 1736945279 2506127993 7315715813 7990864273 12158616953 17542895951 42237425443 46803633599 295661978101 327625435193 1731734443163 12122141102141