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12231311321200 = 2452231415393937
BaseRepresentation
bin1011000111111101001011…
…1101110110100001110000
31121022022011010010201011211
42301333102331312201300
53100344211144234300
642002553054245504
72401453203550156
oct261772275664160
947268133121154
1012231311321200
1139962a740a064
1214566154b6894
136a953b973b4a
14303dda3353d6
151632701984ba
hexb1fd2f76870

12231311321200 has 120 divisors (see below), whose sum is σ = 30665858696928. Its totient is φ = 4679425597440.

The previous prime is 12231311321179. The next prime is 12231311321209. The reversal of 12231311321200 is 212311313221.

It is a super-3 number, since 3×122313113212003 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12231311321209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130160632 + ... + 130254568.

Almost surely, 212231311321200 is an apocalyptic number.

12231311321200 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 12231311321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15332929348464).

12231311321200 is an abundant number, since it is smaller than the sum of its proper divisors (18434547375728).

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

12231311321200 is a wasteful number, since it uses less digits than its factorization.

12231311321200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108131 (or 108120 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 12231311321200 its reverse (212311313221), we get a palindrome (12443622634421).

The spelling of 12231311321200 in words is "twelve trillion, two hundred thirty-one billion, three hundred eleven million, three hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 184 200 230 368 400 460 575 920 1150 1840 2300 4600 9200 14153 28306 56612 70765 93937 113224 141530 187874 226448 283060 325519 353825 375748 469685 566120 651038 707650 751496 939370 1132240 1302076 1415300 1502992 1627595 1878740 2160551 2348425 2604152 2830600 3255190 3757480 4321102 4696850 5208304 5661200 6510380 7514960 8137975 8642204 9393700 10802755 13020760 16275950 17284408 18787400 21605510 26041520 32551900 34568816 37574800 43211020 54013775 65103800 86422040 108027550 130207600 172844080 216055100 432110200 864220400 1329490361 2658980722 5317961444 6647451805 10635922888 13294903610 21271845776 26589807220 30578278303 33237259025 53179614440 61156556606 66474518050 106359228880 122313113212 132949036100 152891391515 244626226424 265898072200 305782783030 489252452848 531796144400 611565566060 764456957575 1223131132120 1528913915150 2446262264240 3057827830300 6115655660600 12231311321200