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12104016202410 = 23511593461179623
BaseRepresentation
bin1011000000100010111110…
…0101100000101010101010
31120212010120200220200000120
42300020233211200222222
53041303011121434120
641424301442144110
72356325543105646
oct260105745405252
946763520820016
1012104016202410
113947314660250
121435a0a652036
1369a5332a4752
142dbba21adc26
1515ecbea31140
hexb022f960aaa

12104016202410 has 128 divisors (see below), whose sum is σ = 32237133649920. Its totient is φ = 2883723436800.

The previous prime is 12104016202387. The next prime is 12104016202429. The reversal of 12104016202410 is 1420261040121.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 67295859 + ... + 67475481.

It is an arithmetic number, because the mean of its divisors is an integer number (251852606640).

Almost surely, 212104016202410 is an apocalyptic number.

12104016202410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12104016202410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16118566824960).

12104016202410 is an abundant number, since it is smaller than the sum of its proper divisors (20133117447510).

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

12104016202410 is a wasteful number, since it uses less digits than its factorization.

12104016202410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183164.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 12104016202410 its reverse (1420261040121), we get a palindrome (13524277242531).

The spelling of 12104016202410 in words is "twelve trillion, one hundred four billion, sixteen million, two hundred two thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 59 66 110 118 165 177 295 330 354 590 649 885 1298 1770 1947 3245 3461 3894 6490 6922 9735 10383 17305 19470 20766 34610 38071 51915 76142 103830 114213 179623 190355 204199 228426 359246 380710 408398 538869 571065 612597 898115 1020995 1077738 1142130 1225194 1796230 1975853 2041990 2246189 2694345 3062985 3951706 4492378 5388690 5927559 6125970 6738567 9879265 10597757 11230945 11855118 13477134 19758530 21195514 22461890 29637795 31793271 33692835 52988785 59275590 63586542 67385670 105977570 116575327 158966355 233150654 317932710 349725981 582876635 621675203 699451962 1165753270 1243350406 1748629905 1865025609 3108376015 3497259810 3730051218 6216752030 6838427233 9325128045 13676854466 18650256090 20515281699 34192136165 36678836977 41030563398 68384272330 73357673954 102576408495 110036510931 183394184885 205152816990 220073021862 366788369770 403467206747 550182554655 806934413494 1100365109310 1210401620241 2017336033735 2420803240482 4034672067470 6052008101205 12104016202410