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12000434302230 = 2351183438131957
BaseRepresentation
bin1010111010100001000110…
…0111111010110100010110
31120111020012220021221110020
42232220101213322310112
53033103342140132410
641304531242410010
72346000643351533
oct256502147726426
946436186257406
1012000434302230
1139073a0349570
121419921200906
1369083668145a
142d6b77551d8a
1515c25b10ca70
hexaea119fad16

12000434302230 has 64 divisors (see below), whose sum is σ = 31797864983808. Its totient is φ = 2874145631360.

The previous prime is 12000434302141. The next prime is 12000434302237. The reversal of 12000434302230 is 3220343400021.

It is a self number, because there is not a number n which added to its sum of digits gives 12000434302230.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000434302237) 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 31 ways as a sum of consecutive naturals, for example, 219038589 + ... + 219093368.

It is an arithmetic number, because the mean of its divisors is an integer number (496841640372).

Almost surely, 212000434302230 is an apocalyptic number.

12000434302230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12000434302230 is an abundant number, since it is smaller than the sum of its proper divisors (19797430681578).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12000434302230 is a wasteful number, since it uses less digits than its factorization.

12000434302230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438132061.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 12000434302230 its reverse (3220343400021), we get a palindrome (15220777702251).

The spelling of 12000434302230 in words is "twelve trillion, four hundred thirty-four million, three hundred two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 83 110 165 166 249 330 415 498 830 913 1245 1826 2490 2739 4565 5478 9130 13695 27390 438131957 876263914 1314395871 2190659785 2628791742 4381319570 4819451527 6571979355 9638903054 13143958710 14458354581 24097257635 28916709162 36364952431 48194515270 72291772905 72729904862 109094857293 144583545810 181824762155 218189714586 363649524310 400014476741 545474286465 800028953482 1090948572930 1200043430223 2000072383705 2400086860446 4000144767410 6000217151115 12000434302230