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12001231011220 = 22511379160789567
BaseRepresentation
bin1010111010100100000100…
…0111000111110110010100
31120111022021102102221201121
42232221001013013312110
53033112010114324340
641305142302533324
72346026456310343
oct256510107076624
946438242387647
1012001231011220
11390776a041850
121419b03b97244
136909327513a9
142d6c112a1b5a
1515c2a603494a
hexaea411c7d94

12001231011220 has 96 divisors (see below), whose sum is σ = 27583733882880. Its totient is φ = 4349812199040.

The previous prime is 12001231011199. The next prime is 12001231011283. The reversal of 12001231011220 is 2211013210021.

It is a junction number, because it is equal to n+sod(n) for n = 12001231011194 and 12001231011203.

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, 133946877 + ... + 134036443.

It is an arithmetic number, because the mean of its divisors is an integer number (287330561280).

Almost surely, 212001231011220 is an apocalyptic number.

12001231011220 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 12001231011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13791866941440).

12001231011220 is an abundant number, since it is smaller than the sum of its proper divisors (15582502871660).

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

12001231011220 is a wasteful number, since it uses less digits than its factorization.

12001231011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91573 (or 91571 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 12001231011220 its reverse (2211013210021), we get a palindrome (14212244221241).

The spelling of 12001231011220 in words is "twelve trillion, one billion, two hundred thirty-one million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 379 758 1516 1607 1895 3214 3790 4169 6428 7580 8035 8338 16070 16676 17677 20845 32140 35354 41690 70708 83380 88385 89567 176770 179134 353540 358268 447835 609053 895670 985237 1218106 1791340 1970474 2436212 3045265 3940948 4926185 6090530 6699583 9852370 12181060 13399166 19704740 26798332 33497915 33945893 66995830 67891786 133991660 135783572 143934169 169729465 287868338 339458930 373404823 575736676 678917860 719670845 746809646 1439341690 1493619292 1583275859 1867024115 2878683380 3166551718 3734048230 6333103436 7468096460 7916379295 15832758590 31665517180 54551050051 109102100102 218204200204 272755250255 545510500510 600061550561 1091021001020 1200123101122 2400246202244 3000307752805 6000615505610 12001231011220