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12341420322 = 23711192948481
BaseRepresentation
bin10110111111001101…
…10010000100100010
31011212002120002222120
423133212302010202
5200233400422242
65400343245110
7614555225160
oct133746620442
934762502876
1012341420322
115263456830
122485149796
131218b0579a
148510d4230
154c37121ec
hex2df9b2122

12341420322 has 128 divisors (see below), whose sum is σ = 33510758400. Its totient is φ = 2932070400.

The previous prime is 12341420321. The next prime is 12341420353. The reversal of 12341420322 is 22302414321.

It is a happy number.

12341420322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12341420292 and 12341420301.

It is not an unprimeable number, because it can be changed into a prime (12341420321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 230322 + ... + 278802.

It is an arithmetic number, because the mean of its divisors is an integer number (261802800).

Almost surely, 212341420322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12341420322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16755379200).

12341420322 is an abundant number, since it is smaller than the sum of its proper divisors (21169338078).

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

12341420322 is a wasteful number, since it uses less digits than its factorization.

12341420322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48552.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12341420322 its reverse (22302414321), we get a palindrome (34643834643).

The spelling of 12341420322 in words is "twelve billion, three hundred forty-one million, four hundred twenty thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 11 14 19 21 22 29 33 38 42 57 58 66 77 87 114 133 154 174 203 209 231 266 319 399 406 418 462 551 609 627 638 798 957 1102 1218 1254 1463 1653 1914 2233 2926 3306 3857 4389 4466 6061 6699 7714 8778 11571 12122 13398 18183 23142 36366 42427 48481 84854 96962 127281 145443 254562 290886 339367 533291 678734 921139 1018101 1066582 1405949 1599873 1842278 2036202 2763417 2811898 3199746 3733037 4217847 5526834 6447973 7466074 8435694 9841643 10132529 11199111 12895946 15465439 19343919 19683286 20265058 22398222 26713031 29524929 30397587 30930878 38687838 46396317 53426062 59049858 60795174 70927703 80139093 92792634 108258073 141855406 160278186 186991217 212783109 216516146 293843341 324774219 373982434 425566218 560973651 587686682 649548438 881530023 1121947302 1763060046 2056903387 4113806774 6170710161 12341420322