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123121402024041 = 321935946112373517
BaseRepresentation
bin11011111111101001101111…
…011011101001000001101001
3121010221021212012101010022100
4123333221233123221001221
5112114210112404232131
61113505105151044013
734635141055466301
oct3377515733510151
9533837765333270
10123121402024041
1136259547746463
1211985904510609
1353913b5750a55
14225917158a601
15e37a0be947e6
hex6ffa6f6e9069

123121402024041 has 96 divisors (see below), whose sum is σ = 188336417068800. Its totient is φ = 77291538301440.

The previous prime is 123121402024013. The next prime is 123121402024081. The reversal of 123121402024041 is 140420204121321.

123121402024041 is a `hidden beast` number, since 1 + 2 + 3 + 12 + 1 + 40 + 202 + 404 + 1 = 666.

It is not a de Polignac number, because 123121402024041 - 223 = 123121393635433 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 123121402023996 and 123121402024014.

It is not an unprimeable number, because it can be changed into a prime (123121402024081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35007505215 + ... + 35007508731.

It is an arithmetic number, because the mean of its divisors is an integer number (1961837677800).

Almost surely, 2123121402024041 is an apocalyptic number.

It is an amenable number.

123121402024041 is a deficient number, since it is larger than the sum of its proper divisors (65215015044759).

123121402024041 is a wasteful number, since it uses less digits than its factorization.

123121402024041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5599 (or 5596 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 123121402024041 its reverse (140420204121321), we get a palindrome (263541606145362).

The spelling of 123121402024041 in words is "one hundred twenty-three trillion, one hundred twenty-one billion, four hundred two million, twenty-four thousand, forty-one".

Divisors: 1 3 9 19 57 171 359 461 1077 1237 1383 3231 3517 3711 4149 6821 8759 10551 11133 20463 23503 26277 31653 61389 66823 70509 78831 165499 200469 211527 444083 496497 570257 601407 1262603 1332249 1489491 1621337 1710771 3144481 3787809 3996747 4350529 4864011 5132313 8437577 9433443 10834883 11363427 13051587 14592033 23989457 25312731 28300329 30805403 32504649 39154761 71968371 75938193 82660051 92416209 97513947 204722263 215905113 247980153 277248627 582059983 614166789 743940459 1561839911 1746179949 1842500367 2005593869 3889722997 4685519733 5238539847 6016781607 11059139677 11669168991 14056559199 18050344821 29674958309 33177419031 35007506973 38106283511 89024874927 99532257093 114318850533 267074624781 342956551599 720008198971 2160024596913 6480073790739 13680155780449 41040467341347 123121402024041