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12001333300220 = 225111071601318443
BaseRepresentation
bin1010111010100100011100…
…1101010100101111111100
31120111022112112220202212002
42232221013031110233330
53033112212311101340
641305200355201432
72346032140615115
oct256510715245774
946438475822762
1012001333300220
113907811857010
121419b322a6278
1369094a9b6a24
142d6c20acb20c
1515c2aeedc715
hexaea47354bfc

12001333300220 has 96 divisors (see below), whose sum is σ = 27768337180416. Its totient is φ = 4320621056000.

The previous prime is 12001333300199. The next prime is 12001333300223. The reversal of 12001333300220 is 2200333310021.

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 = 12001333300192 and 12001333300201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001333300223) 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, 37528319 + ... + 37846761.

It is an arithmetic number, because the mean of its divisors is an integer number (289253512296).

Almost surely, 212001333300220 is an apocalyptic number.

12001333300220 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 12001333300220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13884168590208).

12001333300220 is an abundant number, since it is smaller than the sum of its proper divisors (15767003880196).

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

12001333300220 is a wasteful number, since it uses less digits than its factorization.

12001333300220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320171 (or 320169 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 12001333300220 its reverse (2200333310021), we get a palindrome (14201666610241).

The spelling of 12001333300220 in words is "twelve trillion, one billion, three hundred thirty-three million, three hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 107 110 214 220 428 535 1070 1177 1601 2140 2354 3202 4708 5885 6404 8005 11770 16010 17611 23540 32020 35222 70444 88055 171307 176110 318443 342614 352220 636886 685228 856535 1273772 1592215 1713070 1884377 3184430 3426140 3502873 3768754 6368860 7005746 7537508 9421885 14011492 17514365 18843770 34073401 35028730 37687540 68146802 70057460 136293604 170367005 340734010 374807411 509827243 681468020 749614822 1019654486 1499229644 1874037055 2039308972 2549136215 3748074110 5098272430 5608099673 7496148220 10196544860 11216199346 22432398692 28040498365 54551515001 56080996730 109103030002 112161993460 218206060004 272757575005 545515150010 600066665011 1091030300020 1200133330022 2400266660044 3000333325055 6000666650110 12001333300220