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12223110321312 = 2531121321796567
BaseRepresentation
bin1011000111011110101000…
…1001100001010010100000
31121021111222120111202021020
42301313222021201102200
53100230412220240222
641555115214325440
72401043032316412
oct261675211412240
947244876452236
1012223110321312
113992879136500
121454b06ab9880
136a88328b65a7
1430385d0a89b2
15162e401e765c
hexb1dea2614a0

12223110321312 has 144 divisors (see below), whose sum is σ = 35294456022336. Its totient is φ = 3701164262400.

The previous prime is 12223110321293. The next prime is 12223110321337. The reversal of 12223110321312 is 21312301132221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 14946453 + ... + 15743019.

It is an arithmetic number, because the mean of its divisors is an integer number (245100389044).

Almost surely, 212223110321312 is an apocalyptic number.

12223110321312 is a gapful number since it is divisible by the number (12) 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 12223110321312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17647228011168).

12223110321312 is an abundant number, since it is smaller than the sum of its proper divisors (23071345701024).

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

12223110321312 is a wasteful number, since it uses less digits than its factorization.

12223110321312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797923 (or 797904 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 12223110321312 its reverse (21312301132221), we get a palindrome (33535411453533).

The spelling of 12223110321312 in words is "twelve trillion, two hundred twenty-three billion, one hundred ten million, three hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 264 352 363 484 528 726 968 1056 1321 1452 1936 2642 2904 3872 3963 5284 5808 7926 10568 11616 14531 15852 21136 29062 31704 42272 43593 58124 63408 87186 116248 126816 159841 174372 232496 319682 348744 464992 479523 639364 697488 796567 959046 1278728 1394976 1593134 1918092 2389701 2557456 3186268 3836184 4779402 5114912 6372536 7672368 8762237 9558804 12745072 15344736 17524474 19117608 25490144 26286711 35048948 38235216 52573422 70097896 76470432 96384607 105146844 140195792 192769214 210293688 280391584 289153821 385538428 420587376 578307642 771076856 841174752 1052265007 1156615284 1542153712 2104530014 2313230568 3084307424 3156795021 4209060028 4626461136 6313590042 8418120056 9252922272 11574915077 12627180084 16836240112 23149830154 25254360168 33672480224 34724745231 46299660308 50508720336 69449490462 92599320616 101017440672 127324065847 138898980924 185198641232 254648131694 277797961848 370397282464 381972197541 509296263388 555595923696 763944395082 1018592526776 1111191847392 1527888790164 2037185053552 3055777580328 4074370107104 6111555160656 12223110321312