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12233311002112 = 29173189509417
BaseRepresentation
bin1011001000000100101000…
…1010000001111000000000
31121022111022110220000200211
42302001022022001320000
53100412310104031422
642003523330323504
72401553564552524
oct262011212017000
947274273800624
1012233311002112
113997133158a12
121456a93129594
136a979a038ba5
14304149b49d84
1516333a9e6577
hexb204a281e00

12233311002112 has 160 divisors (see below), whose sum is σ = 27015618389760. Its totient is φ = 5508539351040.

The previous prime is 12233311002097. The next prime is 12233311002167. The reversal of 12233311002112 is 21120011333221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23759628 + ... + 24269044.

It is an arithmetic number, because the mean of its divisors is an integer number (168847614936).

Almost surely, 212233311002112 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 12233311002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13507809194880).

12233311002112 is an abundant number, since it is smaller than the sum of its proper divisors (14782307387648).

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

12233311002112 is an equidigital number, since it uses as much as digits as its factorization.

12233311002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509572 (or 509556 counting only the distinct ones).

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

Adding to 12233311002112 its reverse (21120011333221), we get a palindrome (33353322335333).

The spelling of 12233311002112 in words is "twelve trillion, two hundred thirty-three billion, three hundred eleven million, two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 31 32 34 62 64 68 89 124 128 136 178 248 256 272 356 496 512 527 544 712 992 1054 1088 1424 1513 1984 2108 2176 2759 2848 3026 3968 4216 4352 5518 5696 6052 7936 8432 8704 11036 11392 12104 15872 16864 22072 22784 24208 33728 44144 45568 46903 48416 67456 88288 93806 96832 134912 176576 187612 193664 269824 353152 375224 387328 509417 706304 750448 774656 1018834 1412608 1500896 2037668 3001792 4075336 6003584 8150672 8660089 12007168 15791927 16301344 17320178 24014336 31583854 32602688 34640356 45338113 63167708 65205376 69280712 90676226 126335416 130410752 138561424 181352452 252670832 260821504 268462759 277122848 362704904 505341664 536925518 554245696 725409808 770747921 1010683328 1073851036 1108491392 1405481503 1450819616 1541495842 2021366656 2147702072 2216982784 2810963006 2901639232 3082991684 4042733312 4295404144 4433965568 5621926012 5803278464 6165983368 8085466624 8590808288 11243852024 11606556928 12331966736 17181616576 22487704048 23213113856 23893185551 24663933472 34363233152 44975408096 47786371102 49327866944 68726466304 89950816192 95572742204 98655733888 137452932608 179901632384 191145484408 197311467776 359803264768 382290968816 394622935552 719606529536 764581937632 1529163875264 3058327750528 6116655501056 12233311002112