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12330120430410 = 235619197331633
BaseRepresentation
bin1011001101101101010001…
…1100101100001101001010
31121122202012021220112101020
42303123110130230031022
53104004041312233120
642120213520333310
72411551610246646
oct263332434541512
947582167815336
1012330120430410
113a241a15a02a2
1214717b0474236
136b595782b383
14308ad1157c26
15165b04a96640
hexb36d472c34a

12330120430410 has 64 divisors (see below), whose sum is σ = 30110141041920. Its totient is φ = 3230610324480.

The previous prime is 12330120430391. The next prime is 12330120430487. The reversal of 12330120430410 is 1403402103321.

It is a happy number.

12330120430410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon 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, 1984047 + ... + 5347586.

It is an arithmetic number, because the mean of its divisors is an integer number (470470953780).

Almost surely, 212330120430410 is an apocalyptic number.

12330120430410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12330120430410 is an abundant number, since it is smaller than the sum of its proper divisors (17780020611510).

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

12330120430410 is a wasteful number, since it uses less digits than its factorization.

12330120430410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7332623.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12330120430410 its reverse (1403402103321), we get a palindrome (13733522533731).

The spelling of 12330120430410 in words is "twelve trillion, three hundred thirty billion, one hundred twenty million, four hundred thirty thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 30 61 122 183 305 366 610 915 919 1830 1838 2757 4595 5514 9190 13785 27570 56059 112118 168177 280295 336354 560590 840885 1681770 7331633 14663266 21994899 36658165 43989798 73316330 109974495 219948990 447229613 894459226 1341688839 2236148065 2683377678 4472296130 6708444195 6737770727 13416888390 13475541454 20213312181 33688853635 40426624362 67377707270 101066560905 202133121810 411004014347 822008028694 1233012043041 2055020071735 2466024086082 4110040143470 6165060215205 12330120430410