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12321442120 = 2351353647691
BaseRepresentation
bin10110111100110101…
…00100100101001000
31011210200222010001011
423132122210211020
5200213242121440
65354351133304
7614223346531
oct133632444510
934720863034
1012321442120
115253150919
12247a514234
13121492c270
1484c5b3688
154c1ab79ea
hex2de6a4948

12321442120 has 128 divisors (see below), whose sum is σ = 30510224640. Its totient is φ = 4450268160.

The previous prime is 12321442103. The next prime is 12321442123. The reversal of 12321442120 is 2124412321.

It is a junction number, because it is equal to n+sod(n) for n = 12321442091 and 12321442100.

It is not an unprimeable number, because it can be changed into a prime (12321442123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17830975 + ... + 17831665.

It is an arithmetic number, because the mean of its divisors is an integer number (238361130).

Almost surely, 212321442120 is an apocalyptic number.

12321442120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12321442120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15255112320).

12321442120 is an abundant number, since it is smaller than the sum of its proper divisors (18188782520).

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

12321442120 is a wasteful number, since it uses less digits than its factorization.

12321442120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1415 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 12321442120 its reverse (2124412321), we get a palindrome (14445854441).

The spelling of 12321442120 in words is "twelve billion, three hundred twenty-one million, four hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 53 65 104 106 130 212 260 265 424 520 530 647 689 691 1060 1294 1378 1382 2120 2588 2756 2764 3235 3445 3455 5176 5512 5528 6470 6890 6910 8411 8983 12940 13780 13820 16822 17966 25880 27560 27640 33644 34291 35932 36623 42055 44915 67288 68582 71864 73246 84110 89830 137164 146492 168220 171455 179660 183115 274328 292984 336440 342910 359320 366230 445783 447077 476099 685820 732460 891566 894154 952198 1371640 1464920 1783132 1788308 1904396 2228915 2235385 2380495 3566264 3576616 3808792 4457830 4470770 4760990 5812001 8915660 8941540 9521980 11624002 17831320 17883080 19043960 23248004 23695081 29060005 46496008 47390162 58120010 94780324 116240020 118475405 189560648 232480040 236950810 308036053 473901620 616072106 947803240 1232144212 1540180265 2464288424 3080360530 6160721060 12321442120