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12330320300200 = 2352727915926531
BaseRepresentation
bin1011001101101110000001…
…0111001000100010101000
31121122202201012222222012001
42303123200113020202220
53104004443444101300
642120245420300344
72411556555152500
oct263334027104250
947582635888161
1012330320300200
113a242943a4441
1214718473a16b4
136b598a06b316
14308b0d904a00
15165b173c716a
hexb36e05c88a8

12330320300200 has 144 divisors (see below), whose sum is σ = 33770618452800. Its totient is φ = 4174024982400.

The previous prime is 12330320300147. The next prime is 12330320300203. The reversal of 12330320300200 is 200302303321.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12330320300203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7189066 + ... + 8737465.

It is an arithmetic number, because the mean of its divisors is an integer number (234518183700).

Almost surely, 212330320300200 is an apocalyptic number.

12330320300200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12330320300200 is an abundant number, since it is smaller than the sum of its proper divisors (21440298152600).

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

12330320300200 is a wasteful number, since it uses less digits than its factorization.

12330320300200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15926640 (or 15926624 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 12330320300200 its reverse (200302303321), we get a palindrome (12530622603521).

The spelling of 12330320300200 in words is "twelve trillion, three hundred thirty billion, three hundred twenty million, three hundred thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 79 98 100 140 158 175 196 200 245 280 316 350 392 395 490 553 632 700 790 980 1106 1225 1400 1580 1960 1975 2212 2450 2765 3160 3871 3950 4424 4900 5530 7742 7900 9800 11060 13825 15484 15800 19355 22120 27650 30968 38710 55300 77420 96775 110600 154840 193550 387100 774200 15926531 31853062 63706124 79632655 111485717 127412248 159265310 222971434 318530620 398163275 445942868 557428585 637061240 780400019 796326550 891885736 1114857170 1258195949 1560800038 1592653100 2229714340 2516391898 2787142925 3121600076 3185306200 3902000095 4459428680 5032783796 5574285850 6243200152 6290979745 7804000190 8807371643 10065567592 11148571700 12581959490 15608000380 17614743286 19510000475 22297143400 25163918980 31216000760 31454898725 35229486572 39020000950 44036858215 50327837960 61651601501 62909797450 70458973144 78040001900 88073716430 123303203002 125819594900 156080003800 176147432860 220184291075 246606406004 251639189800 308258007505 352294865720 440368582150 493212812008 616516015010 880737164300 1233032030020 1541290037525 1761474328600 2466064060040 3082580075050 6165160150100 12330320300200