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12001234304121 = 38310117911032417
BaseRepresentation
bin1010111010100100000101…
…0011101011110001111001
31120111022021122122020201220
42232221001103223301321
53033112011440212441
641305142501302253
72346026526303546
oct256510123536171
946438248566656
1012001234304121
113907770990857
121419b05104989
1369093333515a
142d6c118bbbcd
1515c2a6485466
hexaea414ebc79

12001234304121 has 64 divisors (see below), whose sum is σ = 16467865989120. Its totient is φ = 7772171494400.

The previous prime is 12001234304107. The next prime is 12001234304131. The reversal of 12001234304121 is 12140343210021.

It is a cyclic number.

It is not a de Polignac number, because 12001234304121 - 215 = 12001234271353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12001234304091 and 12001234304100.

It is not an unprimeable number, because it can be changed into a prime (12001234304131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4965341905 + ... + 4965344321.

It is an arithmetic number, because the mean of its divisors is an integer number (257310406080).

Almost surely, 212001234304121 is an apocalyptic number.

It is an amenable number.

12001234304121 is a deficient number, since it is larger than the sum of its proper divisors (4466631684999).

12001234304121 is a wasteful number, since it uses less digits than its factorization.

12001234304121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3886.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 12001234304121 its reverse (12140343210021), we get a palindrome (24141577514142).

The spelling of 12001234304121 in words is "twelve trillion, one billion, two hundred thirty-four million, three hundred four thousand, one hundred twenty-one".

Divisors: 1 3 83 101 179 249 303 537 1103 2417 3309 7251 8383 14857 18079 25149 44571 54237 91549 111403 197437 200611 244117 274647 334209 432643 592311 601833 732351 1297929 1500557 2665951 4501671 7997853 9246449 16387271 19941137 20261711 27739347 35909369 43696943 49161813 59823411 60785133 107728107 131090829 221273933 269261051 477205229 663821799 807783153 1431615687 1655114371 3626846269 4965343113 10880538807 22348667233 39608034007 48197728129 67046001699 118824102021 144593184387 4000411434707 12001234304121