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12001313211320 = 2354373137697681
BaseRepresentation
bin1010111010100100011000…
…0000101100001110111000
31120111022111011010011001202
42232221012000230032320
53033112142140230240
641305154400433332
72346031505065646
oct256510600541670
946438434104052
1012001313211320
113907801485a14
121419b27618848
136909467a1cc4
142d6c1c17c196
1515c2ad370315
hexaea4602c3b8

12001313211320 has 128 divisors (see below), whose sum is σ = 28213925192640. Its totient is φ = 4590890680320.

The previous prime is 12001313211253. The next prime is 12001313211323. The reversal of 12001313211320 is 2311231310021.

It is a happy number.

It is a super-2 number, since 2×120013132113202 (a number of 27 digits) contains 22 as substring.

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 = 12001313211292 and 12001313211301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001313211323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16852880 + ... + 17550560.

Almost surely, 212001313211320 is an apocalyptic number.

12001313211320 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 12001313211320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14106962596320).

12001313211320 is an abundant number, since it is smaller than the sum of its proper divisors (16212611981320).

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

12001313211320 is a wasteful number, since it uses less digits than its factorization.

12001313211320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697945 (or 697941 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 12001313211320 its reverse (2311231310021), we get a palindrome (14312544521341).

The spelling of 12001313211320 in words is "twelve trillion, one billion, three hundred thirteen million, two hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 73 86 137 146 172 215 274 292 344 365 430 548 584 685 730 860 1096 1370 1460 1720 2740 2920 3139 5480 5891 6278 10001 11782 12556 15695 20002 23564 25112 29455 31390 40004 47128 50005 58910 62780 80008 100010 117820 125560 200020 235640 400040 430043 697681 860086 1395362 1720172 2150215 2790724 3440344 3488405 4300430 5581448 6976810 8600860 13953620 17201720 27907240 30000283 50930713 60000566 95582297 101861426 120001132 150001415 191164594 203722852 240002264 254653565 300002830 382329188 407445704 477911485 509307130 600005660 764658376 955822970 1018614260 1200011320 1911645940 2037228520 2190020659 3823291880 4110038771 4380041318 6977507681 8220077542 8760082636 10950103295 13955015362 16440155084 17520165272 20550193855 21900206590 27910030724 32880310168 34887538405 41100387710 43800413180 55820061448 69775076810 82200775420 87600826360 139550153620 164401550840 279100307240 300032830283 600065660566 1200131321132 1500164151415 2400262642264 3000328302830 6000656605660 12001313211320