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12323120133312 = 263241775121931
BaseRepresentation
bin1011001101010011001100…
…1100101011010011000000
31121122002010102121121001100
42303110303030223103000
53103400222223231222
642113055131534400
72411213255562342
oct263246314532300
947562112547040
1012323120133312
113a2122a06349a
121470377bba400
136b50b0450141
14308629561292
1516584521e4ac
hexb353332b4c0

12323120133312 has 84 divisors (see below), whose sum is σ = 35330462060296. Its totient is φ = 4106722498560.

The previous prime is 12323120133293. The next prime is 12323120133361. The reversal of 12323120133312 is 21333102132321.

12323120133312 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 312 + 0 + 1 + 33 + 312 = 666.

It is a super-3 number, since 3×123231201333123 (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 155014 + ... + 4966917.

Almost surely, 212323120133312 is an apocalyptic number.

12323120133312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12323120133312 is an abundant number, since it is smaller than the sum of its proper divisors (23007341926984).

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

12323120133312 is a wasteful number, since it uses less digits than its factorization.

12323120133312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5126126 (or 5126113 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 12323120133312 its reverse (21333102132321), we get a palindrome (33656222265633).

The spelling of 12323120133312 in words is "twelve trillion, three hundred twenty-three billion, one hundred twenty million, one hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 4177 8354 12531 16708 25062 33416 37593 50124 66832 75186 100248 133664 150372 200496 267328 300744 400992 601488 801984 1202976 2405952 5121931 10243862 15365793 20487724 30731586 40975448 46097379 61463172 81950896 92194758 122926344 163901792 184389516 245852688 327803584 368779032 491705376 737558064 983410752 1475116128 2950232256 21394305787 42788611574 64182917361 85577223148 128365834722 171154446296 192548752083 256731669444 342308892592 385097504166 513463338888 684617785184 770195008332 1026926677776 1369235570368 1540390016664 2053853355552 3080780033328 4107706711104 6161560066656 12323120133312