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12330320240 = 2457234432161
BaseRepresentation
bin10110111101111000…
…11100000101110000
31011211022200011112102
423132330130011300
5200223030221430
65355305315532
7614361664340
oct133674340560
934738604472
1012330320240
115258165107
122481495ba8
13121671a2a4
1484d844d20
154c276d345
hex2def1c170

12330320240 has 160 divisors (see below), whose sum is σ = 34280948736. Its totient is φ = 4032737280.

The previous prime is 12330320239. The next prime is 12330320267. The reversal of 12330320240 is 4202303321.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5704760 + ... + 5706920.

Almost surely, 212330320240 is an apocalyptic number.

12330320240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12330320240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17140474368).

12330320240 is an abundant number, since it is smaller than the sum of its proper divisors (21950628496).

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

12330320240 is a wasteful number, since it uses less digits than its factorization.

12330320240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2647 (or 2641 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 12330320240 its reverse (4202303321), we get a palindrome (16532623561).

The spelling of 12330320240 in words is "twelve billion, three hundred thirty million, three hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 56 70 80 92 112 115 140 161 184 230 280 322 368 443 460 560 644 805 886 920 1288 1610 1772 1840 2161 2215 2576 3101 3220 3544 4322 4430 6202 6440 7088 8644 8860 10189 10805 12404 12880 15127 15505 17288 17720 20378 21610 24808 30254 31010 34576 35440 40756 43220 49616 49703 50945 60508 62020 71323 75635 81512 86440 99406 101890 121016 124040 142646 151270 163024 172880 198812 203780 242032 248080 248515 285292 302540 347921 356615 397624 407560 497030 570584 605080 695842 713230 795248 815120 957323 994060 1141168 1210160 1391684 1426460 1739605 1914646 1988120 2783368 2852920 3479210 3829292 3976240 4786615 5566736 5705840 6701261 6958420 7658584 9573230 13402522 13916840 15317168 19146460 22018429 26805044 27833680 33506305 38292920 44036858 53610088 67012610 76585840 88073716 107220176 110092145 134025220 154129003 176147432 220184290 268050440 308258006 352294864 440368580 536100880 616516012 770645015 880737160 1233032024 1541290030 1761474320 2466064048 3082580060 6165160120 12330320240