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12330123011320 = 235232619552607
BaseRepresentation
bin1011001101101101010010…
…0110100010010011111000
31121122202012110202122201111
42303123110212202103320
53104004042442330240
642120214051530104
72411551641216322
oct263332446422370
947582173678644
1012330123011320
113a241a2aa3384
1214717b12b9934
136b595822303a
14308ad162a612
15165b04e061ea
hexb36d49a24f8

12330123011320 has 96 divisors (see below), whose sum is σ = 29476864609920. Its totient is φ = 4640273890560.

The previous prime is 12330123011309. The next prime is 12330123011417. The reversal of 12330123011320 is 2311032103321.

12330123011320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12330123011291 and 12330123011300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3485544 + ... + 6067063.

It is an arithmetic number, because the mean of its divisors is an integer number (307050673020).

Almost surely, 212330123011320 is an apocalyptic number.

12330123011320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12330123011320 is an abundant number, since it is smaller than the sum of its proper divisors (17146741598600).

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

12330123011320 is a wasteful number, since it uses less digits than its factorization.

12330123011320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9552725 (or 9552698 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 12330123011320 its reverse (2311032103321), we get a palindrome (14641155114641).

The spelling of 12330123011320 in words is "twelve trillion, three hundred thirty billion, one hundred twenty-three million, eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 61 92 115 122 184 230 244 305 460 488 529 610 920 1058 1220 1403 2116 2440 2645 2806 4232 5290 5612 7015 10580 11224 14030 21160 28060 32269 56120 64538 129076 161345 258152 322690 645380 1290760 9552607 19105214 38210428 47763035 76420856 95526070 191052140 219709961 382104280 439419922 582709027 878839844 1098549805 1165418054 1757679688 2197099610 2330836108 2913545135 4394199220 4661672216 5053329103 5827090270 8788398440 10106658206 11654180540 13402307621 20213316412 23308361080 25266645515 26804615242 40426632824 50533291030 53609230484 67011538105 101066582060 107218460968 134023076210 202133164120 268046152420 308253075283 536092304840 616506150566 1233012301132 1541265376415 2466024602264 3082530752830 6165061505660 12330123011320