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12000330000330 = 2357296729410411
BaseRepresentation
bin1010111010100000101101…
…1010000010011111001010
31120111012221122000212010220
42232220023122002133022
53033103133440002310
641304513035050510
72345665235661420
oct256501332023712
946435848025126
1012000330000330
113907347489a51
1214198b22a0a36
1369081ab92859
142d6b67761110
1515c251da8670
hexaea0b6827ca

12000330000330 has 128 divisors (see below), whose sum is σ = 34558410516480. Its totient is φ = 2608821008640.

The previous prime is 12000330000319. The next prime is 12000330000343. The reversal of 12000330000330 is 3300003300021.

It is a super-3 number, since 3×120003300003303 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14297176 + ... + 15113235.

It is an arithmetic number, because the mean of its divisors is an integer number (269987582160).

Almost surely, 212000330000330 is an apocalyptic number.

12000330000330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12000330000330 is an abundant number, since it is smaller than the sum of its proper divisors (22558080516150).

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

12000330000330 is a wasteful number, since it uses less digits than its factorization.

12000330000330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29410524.

The product of its (nonzero) digits is 162, while the sum is 15.

Adding to 12000330000330 its reverse (3300003300021), we get a palindrome (15300333300351).

The spelling of 12000330000330 in words is "twelve trillion, three hundred thirty million, three hundred thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 58 67 70 87 105 134 145 174 201 203 210 290 335 402 406 435 469 609 670 870 938 1005 1015 1218 1407 1943 2010 2030 2345 2814 3045 3886 4690 5829 6090 7035 9715 11658 13601 14070 19430 27202 29145 40803 58290 68005 81606 136010 204015 408030 29410411 58820822 88231233 147052055 176462466 205872877 294104110 411745754 441156165 617618631 852901919 882312330 1029364385 1235237262 1705803838 1970497537 2058728770 2558705757 3088093155 3940995074 4264509595 5117411514 5911492611 5970313433 6176186310 8529019190 9852487685 11822985222 11940626866 12793528785 13793482759 17910940299 19704975370 25587057570 27586965518 29557463055 29851567165 35821880598 41380448277 57144428573 59114926110 59703134330 68967413795 82760896554 89554701495 114288857146 137934827590 171433285719 179109402990 206902241385 285722142865 342866571438 400011000011 413804482770 571444285730 800022000022 857166428595 1200033000033 1714332857190 2000055000055 2400066000066 4000110000110 6000165000165 12000330000330