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12021313313320 = 2357326346333809
BaseRepresentation
bin1010111011101110111000…
…0111000001101000101000
31120120020002222211121020021
42232323232013001220220
53033424122202011240
641322303132210224
72350340231126143
oct256735607015050
946506088747207
1012021313313320
113915234a74633
121421989609974
136927b31b419c
142d7b9848d05a
1515ca7e10b54a
hexaeeee1c1a28

12021313313320 has 128 divisors (see below), whose sum is σ = 27582987801600. Its totient is φ = 4714278395904.

The previous prime is 12021313313311. The next prime is 12021313313329. The reversal of 12021313313320 is 2331331312021.

12021313313320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12021313313311) and next prime (12021313313329).

It is not an unprimeable number, because it can be changed into a prime (12021313313329) 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, 355548576 + ... + 355582384.

It is an arithmetic number, because the mean of its divisors is an integer number (215492092200).

Almost surely, 212021313313320 is an apocalyptic number.

12021313313320 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 12021313313320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13791493900800).

12021313313320 is an abundant number, since it is smaller than the sum of its proper divisors (15561674488280).

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

12021313313320 is a wasteful number, since it uses less digits than its factorization.

12021313313320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34619 (or 34615 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 12021313313320 its reverse (2331331312021), we get a palindrome (14352644625341).

The spelling of 12021313313320 in words is "twelve trillion, twenty-one billion, three hundred thirteen million, three hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 73 146 263 292 365 463 526 584 730 926 1052 1315 1460 1852 2104 2315 2630 2920 3704 4630 5260 9260 10520 18520 19199 33799 33809 38398 67598 67618 76796 95995 121769 135196 135236 153592 168995 169045 191990 243538 270392 270472 337990 338090 383980 487076 608845 675980 676180 767960 974152 1217690 1351960 1352360 2435380 2468057 4870760 4936114 8889137 8891767 9872228 12340285 15653567 17778274 17783534 19744456 24680570 31307134 35556548 35567068 44445685 44458835 49361140 62614268 71113096 71134136 78267835 88891370 88917670 98722280 125228536 156535670 177782740 177835340 313071340 355565480 355670680 626142680 649098991 1142710391 1298197982 2285420782 2596395964 3245494955 4116888121 4570841564 5192791928 5713551955 6490989910 8233776242 9141683128 11427103910 12981979820 16467552484 20584440605 22854207820 25963959640 32935104968 41168881210 45708415640 82337762420 164675524840 300532832833 601065665666 1202131331332 1502664164165 2404262662664 3005328328330 6010656656660 12021313313320