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12331120003220 = 22531577111730859
BaseRepresentation
bin1011001101110001000000…
…0001110000100010010100
31121122211202221210002111102
42303130100001300202110
53104013113210100340
642120501024525232
72411615435421254
oct263342001604224
947584687702442
1012331120003220
113a24664852127
121471a2b180818
136b5a86948c85
14308b87bd3964
15165b626e1215
hexb3710070894

12331120003220 has 96 divisors (see below), whose sum is σ = 26801853711360. Its totient is φ = 4760643870720.

The previous prime is 12331120003201. The next prime is 12331120003231. The reversal of 12331120003220 is 2230002113321.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12331120003192 and 12331120003201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 399580151 + ... + 399611009.

It is an arithmetic number, because the mean of its divisors is an integer number (279185976160).

Almost surely, 212331120003220 is an apocalyptic number.

12331120003220 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 12331120003220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13400926855680).

12331120003220 is an abundant number, since it is smaller than the sum of its proper divisors (14470733708140).

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

12331120003220 is a wasteful number, since it uses less digits than its factorization.

12331120003220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32593 (or 32591 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 12331120003220 its reverse (2230002113321), we get a palindrome (14561122116541).

The spelling of 12331120003220 in words is "twelve trillion, three hundred thirty-one billion, one hundred twenty million, three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 577 620 1117 1154 2234 2308 2885 4468 5585 5770 11170 11540 17887 22340 30859 34627 35774 61718 69254 71548 89435 123436 138508 154295 173135 178870 308590 346270 357740 617180 644509 692540 956629 1289018 1913258 2578036 3222545 3826516 4783145 6445090 9566290 12890180 17805643 19132580 19979779 34469503 35611286 39959558 68939006 71222572 79919116 89028215 99898895 137878012 172347515 178056430 199797790 344695030 356112860 399595580 551974933 689390060 1068554593 1103949866 2137109186 2207899732 2759874665 4274218372 5342772965 5519749330 10685545930 11039498660 19888903231 21371091860 39777806462 79555612924 99444516155 198889032310 397778064620 616556000161 1233112000322 2466224000644 3082780000805 6165560001610 12331120003220