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12330132301312 = 2973193695303
BaseRepresentation
bin1011001101101101010100…
…1001111110011000000000
31121122202020010020122012021
42303123111021332120000
53104004102332120222
642120215023011224
72411552113201000
oct263332511763000
947582203218167
1012330132301312
113a241a8269061
1214717b4439b14
136b595a126687
14308ad2968000
15165b05b3dac7
hexb36d527e600

12330132301312 has 160 divisors (see below), whose sum is σ = 30242367936000. Its totient is φ = 5006217775104.

The previous prime is 12330132301247. The next prime is 12330132301373. The reversal of 12330132301312 is 21310323103321.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1489053 + ... + 5184355.

It is an arithmetic number, because the mean of its divisors is an integer number (189014799600).

Almost surely, 212330132301312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12330132301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15121183968000).

12330132301312 is an abundant number, since it is smaller than the sum of its proper divisors (17912235634688).

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

12330132301312 is an frugal number, since it uses more digits than its factorization.

12330132301312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3695361 (or 3695331 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 12330132301312 its reverse (21310323103321), we get a palindrome (33640455404633).

The spelling of 12330132301312 in words is "twelve trillion, three hundred thirty billion, one hundred thirty-two million, three hundred one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 64 76 98 112 128 133 152 196 224 256 266 304 343 392 448 512 532 608 686 784 896 931 1064 1216 1372 1568 1792 1862 2128 2432 2744 3136 3584 3724 4256 4864 5488 6272 6517 7448 8512 9728 10976 12544 13034 14896 17024 21952 25088 26068 29792 34048 43904 52136 59584 68096 87808 104272 119168 175616 208544 238336 417088 476672 834176 1668352 3336704 3695303 7390606 14781212 25867121 29562424 51734242 59124848 70210757 103468484 118249696 140421514 181069847 206936968 236499392 280843028 362139694 413873936 472998784 491475299 561686056 724279388 827747872 945997568 982950598 1123372112 1267488929 1448558776 1655495744 1891995136 1965901196 2246744224 2534977858 2897117552 3310991488 3440327093 3931802392 4493488448 5069955716 5794235104 6621982976 6880654186 7863604784 8986976896 10139911432 11588470208 13243965952 13761308372 15727209568 17973953792 20279822864 23176940416 24082289651 27522616744 31454419136 35947907584 40559645728 46353880832 48164579302 55045233488 62908838272 81119291456 92707761664 96329158604 110090466976 125817676544 162238582912 192658317208 220180933952 251635353088 324477165824 385316634416 440361867904 648954331648 770633268832 880723735808 1541266537664 1761447471616 3082533075328 6165066150656 12330132301312