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12344120420 = 2254759733049
BaseRepresentation
bin10110111111100010…
…00101010001100100
31011212021122021211012
423133301011101210
5200240043323140
65400521201352
7614620202162
oct133761052144
934767567735
1012344120420
115264a30415
122486030258
13121953c788
148515d8232
154c3a97265
hex2dfc45464

12344120420 has 96 divisors (see below), whose sum is σ = 27300672000. Its totient is φ = 4684068864.

The previous prime is 12344120419. The next prime is 12344120441. The reversal of 12344120420 is 2402144321.

12344120420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4047056 + ... + 4050104.

It is an arithmetic number, because the mean of its divisors is an integer number (284382000).

Almost surely, 212344120420 is an apocalyptic number.

12344120420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12344120420 is an abundant number, since it is smaller than the sum of its proper divisors (14956551580).

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

12344120420 is a wasteful number, since it uses less digits than its factorization.

12344120420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3237 (or 3235 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 12344120420 its reverse (2402144321), we get a palindrome (14746264741).

The spelling of 12344120420 in words is "twelve billion, three hundred forty-four million, one hundred twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 47 59 73 94 118 146 188 235 236 292 295 365 470 590 730 940 1180 1460 2773 3049 3431 4307 5546 6098 6862 8614 11092 12196 13724 13865 15245 17155 17228 21535 27730 30490 34310 43070 55460 60980 68620 86140 143303 179891 202429 222577 286606 359782 404858 445154 573212 716515 719564 809716 890308 899455 1012145 1112885 1433030 1798910 2024290 2225770 2866060 3597820 4048580 4451540 8454877 10461119 13132043 16909754 20922238 26264086 33819508 41844476 42274385 52305595 52528172 65660215 84548770 104611190 131320430 169097540 209222380 262640860 617206021 1234412042 2468824084 3086030105 6172060210 12344120420