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12023101001121 = 3741127271631643
BaseRepresentation
bin1010111011110101100010…
…1010100000110110100001
31120120101201120200112212120
42232331120222200312201
53033441302324013441
641323200352414453
72350432436204010
oct256753052406641
946511646615776
1012023101001121
113915a72089971
1214221a8247429
13692a09683112
142d7cc7a7ca77
1515cb36031966
hexaef58aa0da1

12023101001121 has 128 divisors (see below), whose sum is σ = 19045004869632. Its totient is φ = 6604670016000.

The previous prime is 12023101001117. The next prime is 12023101001123. The reversal of 12023101001121 is 12110010132021.

12023101001121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12023101001121 - 22 = 12023101001117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12023101001121.

It is not an unprimeable number, because it can be changed into a prime (12023101001123) 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, 18698446026 + ... + 18698446668.

It is an arithmetic number, because the mean of its divisors is an integer number (148789100544).

Almost surely, 212023101001121 is an apocalyptic number.

It is an amenable number.

12023101001121 is a deficient number, since it is larger than the sum of its proper divisors (7021903868511).

12023101001121 is a wasteful number, since it uses less digits than its factorization.

12023101001121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1723.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 12023101001121 its reverse (12110010132021), we get a palindrome (24133111133142).

The spelling of 12023101001121 in words is "twelve trillion, twenty-three billion, one hundred one million, one thousand, one hundred twenty-one".

Divisors: 1 3 7 21 41 123 127 271 287 381 631 643 813 861 889 1893 1897 1929 2667 4417 4501 5207 5691 11111 13251 13503 15621 25871 26363 33333 34417 36449 77613 77777 79089 80137 81661 103251 109347 171001 174253 181097 184541 233331 240411 240919 244983 405733 513003 522759 543291 553623 560959 571627 722757 1197007 1217199 1219771 1411097 1682877 1714881 2840131 3285617 3348101 3591021 3659313 4233291 7011041 7144373 8520393 9856851 9877679 10044303 16635053 21033123 21433119 21717127 22130131 22999319 23436707 29633037 49077287 49905159 50010611 51528091 65151381 66390393 68997957 70310121 109953643 116445371 147231861 150031833 152019889 154584273 154910917 329860929 349336113 360696637 456059667 464732751 769675501 890402207 907335371 1082089911 2112651731 2309026503 2671206621 2722006113 4508099363 6232815449 6337955193 6351347597 13524298089 13964112661 14788562117 18698446347 19054042791 31556695541 41892337983 44365686351 94670086623 97748788627 293246365881 572528619101 1717585857303 4007700333707 12023101001121