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12000330101322 = 23217239164086883
BaseRepresentation
bin1010111010100000101101…
…1010011011001001001010
31120111012221122012222200100
42232220023122123021022
53033103134001220242
641304513041150230
72345665236562023
oct256501332331112
946435848188610
1012000330101322
113907347548912
1214198b232b376
1369081abc9804
142d6b67789c4a
1515c251dc854c
hexaea0b69b24a

12000330101322 has 48 divisors (see below), whose sum is σ = 27645358216320. Its totient is φ = 3749057079936.

The previous prime is 12000330101233. The next prime is 12000330101359. The reversal of 12000330101322 is 22310103300021.

12000330101322 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 0 + 330 + 10 + 1 + 322 = 666.

It is a super-2 number, since 2×120003301013222 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12000330101295 and 12000330101304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81970308 + ... + 82116575.

It is an arithmetic number, because the mean of its divisors is an integer number (575944962840).

Almost surely, 212000330101322 is an apocalyptic number.

12000330101322 is an abundant number, since it is smaller than the sum of its proper divisors (15645028114998).

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

12000330101322 is a wasteful number, since it uses less digits than its factorization.

12000330101322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164087147 (or 164087144 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12000330101322 its reverse (22310103300021), we get a palindrome (34310433401343).

The spelling of 12000330101322 in words is "twelve trillion, three hundred thirty million, one hundred one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 239 306 478 717 1434 2151 4063 4302 8126 12189 24378 36567 73134 164086883 328173766 492260649 984521298 1476781947 2789477011 2953563894 5578954022 8368431033 16736862066 25105293099 39216765037 50210586198 78433530074 117650295111 235300590222 352950885333 666685005629 705901770666 1333370011258 2000055016887 4000110033774 6000165050661 12000330101322