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12330123333320 = 23513237114520377
BaseRepresentation
bin1011001101101101010010…
…0111110000111011001000
31121122202012111101000102102
42303123110213300323020
53104004043033131240
642120214102452532
72411551644030152
oct263332447607310
947582174330372
1012330123333320
113a241a31a32a1
1214717b1434148
136b5958306780
14308ad16b1ad2
15165b04e6b815
hexb36d49f0ec8

12330123333320 has 128 divisors (see below), whose sum is σ = 31614928611840. Its totient is φ = 4293384775680.

The previous prime is 12330123333317. The next prime is 12330123333377. The reversal of 12330123333320 is 2333332103321.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6411029 + ... + 8109348.

It is an arithmetic number, because the mean of its divisors is an integer number (246991629780).

Almost surely, 212330123333320 is an apocalyptic number.

12330123333320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12330123333320 is an abundant number, since it is smaller than the sum of its proper divisors (19284805278520).

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

12330123333320 is a wasteful number, since it uses less digits than its factorization.

12330123333320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14520495 (or 14520491 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 29.

Adding to 12330123333320 its reverse (2333332103321), we get a palindrome (14663455436641).

The spelling of 12330123333320 in words is "twelve trillion, three hundred thirty billion, one hundred twenty-three million, three hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 23 26 40 46 52 65 71 92 104 115 130 142 184 230 260 284 299 355 460 520 568 598 710 920 923 1196 1420 1495 1633 1846 2392 2840 2990 3266 3692 4615 5980 6532 7384 8165 9230 11960 13064 16330 18460 21229 32660 36920 42458 65320 84916 106145 169832 212290 424580 849160 14520377 29040754 58081508 72601885 116163016 145203770 188764901 290407540 333968671 377529802 580815080 667937342 755059604 943824505 1030946767 1335874684 1510119208 1669843355 1887649010 2061893534 2671749368 3339686710 3775298020 4123787068 4341592723 5154733835 6679373420 7550596040 8247574136 8683185446 10309467670 13358746840 13402307971 17366370892 20618935340 21707963615 23711775641 26804615942 34732741784 41237870680 43415927230 47423551282 53609231884 67011539855 86831854460 94847102564 107218463768 118558878205 134023079710 173663708920 189694205128 237117756410 268046159420 308253083333 474235512820 536092318840 616506166666 948471025640 1233012333332 1541265416665 2466024666664 3082530833330 6165061666660 12330123333320