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12231220321300 = 225210119938315889
BaseRepresentation
bin1011000111111100110110…
…0010101101110000010100
31121022021220202220102210011
42301333031202231300110
53100344014400240200
642002540044010004
72401451020221301
oct261771542556024
947267822812704
1012231220321300
113996260005532
1214565aab30904
136a9525b61a56
14303dcc2080a8
151632671c05ba
hexb1fcd8adc14

12231220321300 has 144 divisors (see below), whose sum is σ = 27011271168000. Its totient is φ = 4806819072000.

The previous prime is 12231220321291. The next prime is 12231220321433. The reversal of 12231220321300 is 312302213221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 769783756 + ... + 769799644.

It is an arithmetic number, because the mean of its divisors is an integer number (187578272000).

Almost surely, 212231220321300 is an apocalyptic number.

12231220321300 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 12231220321300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13505635584000).

12231220321300 is an abundant number, since it is smaller than the sum of its proper divisors (14780050846700).

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

12231220321300 is a wasteful number, since it uses less digits than its factorization.

12231220321300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16586 (or 16579 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 12231220321300 its reverse (312302213221), we get a palindrome (12543522534521).

The spelling of 12231220321300 in words is "twelve trillion, two hundred thirty-one billion, two hundred twenty million, three hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 199 202 383 398 404 505 766 796 995 1010 1532 1915 1990 2020 2525 3830 3980 4975 5050 7660 9575 9950 10100 15889 19150 19900 20099 31778 38300 38683 40198 63556 76217 77366 79445 80396 100495 152434 154732 158890 193415 200990 304868 317780 381085 386830 397225 401980 502475 762170 773660 794450 967075 1004950 1524340 1588900 1604789 1905425 1934150 2009900 3161911 3209578 3810850 3868300 6085487 6323822 6419156 7621700 7697917 8023945 12170974 12647644 15395834 15809555 16047890 24341948 30427435 30791668 31619110 32095780 38489585 40119725 60854870 63238220 76979170 79047775 80239450 121709740 152137175 153958340 158095550 160478900 192447925 304274350 316191100 319353011 384895850 608548700 614634187 638706022 769791700 1211011913 1229268374 1277412044 1596765055 2422023826 2458536748 3073170935 3193530110 4844047652 6055059565 6146341870 6387060220 7983825275 12110119130 12292683740 15365854675 15967650550 24220238260 30275297825 30731709350 31935301100 60550595650 61463418700 121101191300 122312203213 244624406426 489248812852 611561016065 1223122032130 2446244064260 3057805080325 6115610160650 12231220321300