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12312230303232 = 29323622973751
BaseRepresentation
bin1011001100101010101000…
…0111010001011000000000
31121121001000111110220112100
42303022222013101120000
53103210421424200412
642104054401030400
72410346354546526
oct263125207213000
947531014426470
1012312230303232
113a17651032a22
12146a239025400
136b40662ba2c2
14307cb516c316
15165409192edc
hexb32aa1d1600

12312230303232 has 120 divisors (see below), whose sum is σ = 35535392933040. Its totient is φ = 4103907840000.

The previous prime is 12312230303201. The next prime is 12312230303293. The reversal of 12312230303232 is 23230303221321.

12312230303232 is a `hidden beast` number, since 1 + 2 + 3 + 122 + 3 + 0 + 303 + 232 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12312230303196 and 12312230303205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166906357 + ... + 166980107.

It is an arithmetic number, because the mean of its divisors is an integer number (296128274442).

Almost surely, 212312230303232 is an apocalyptic number.

12312230303232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12312230303232 is an abundant number, since it is smaller than the sum of its proper divisors (23223162629808).

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

12312230303232 is an equidigital number, since it uses as much as digits as its factorization.

12312230303232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110004 (or 109985 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 12312230303232 its reverse (23230303221321), we get a palindrome (35542533524553).

The spelling of 12312230303232 in words is "twelve trillion, three hundred twelve billion, two hundred thirty million, three hundred three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 36229 72458 73751 108687 144916 147502 217374 221253 289832 295004 326061 434748 442506 579664 590008 652122 663759 869496 885012 1159328 1180016 1304244 1327518 1738992 1770024 2318656 2360032 2608488 2655036 3477984 3540048 4637312 4720064 5216976 5310072 6955968 7080096 9274624 9440128 10433952 10620144 13911936 14160192 18549248 18880256 20867904 21240288 27823872 28320384 37760512 41735808 42480576 55647744 56640768 83471616 84961152 113281536 166943232 169922304 339844608 2671924979 5343849958 8015774937 10687699916 16031549874 21375399832 24047324811 32063099748 42750799664 48094649622 64126199496 85501599328 96189299244 128252398992 171003198656 192378598488 256504797984 342006397312 384757196976 513009595968 684012794624 769514393952 1026019191936 1368025589248 1539028787904 2052038383872 3078057575808 4104076767744 6156115151616 12312230303232