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12300231312320 = 26576967778809
BaseRepresentation
bin1011001011111101111011…
…1010110000001111000000
31121112220001021021000101112
42302333132322300033000
53103011333203443240
642054352005022452
72406443125034660
oct262773672601700
947486037230345
1012300231312320
113a12553a00506
121467a4a6b4a28
136b2ba3419b93
143074977341a0
15164e55a71665
hexb2fdeeb03c0

12300231312320 has 112 divisors (see below), whose sum is σ = 33475106105280. Its totient is φ = 4217108127744.

The previous prime is 12300231312289. The next prime is 12300231312371. The reversal of 12300231312320 is 2321313200321.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156037076 + ... + 156115884.

It is an arithmetic number, because the mean of its divisors is an integer number (298884875940).

Almost surely, 212300231312320 is an apocalyptic number.

12300231312320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12300231312320 is an abundant number, since it is smaller than the sum of its proper divisors (21174874792960).

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

12300231312320 is an equidigital number, since it uses as much as digits as its factorization.

12300231312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148510 (or 148500 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 12300231312320 its reverse (2321313200321), we get a palindrome (14621544512641).

The spelling of 12300231312320 in words is "twelve trillion, three hundred billion, two hundred thirty-one million, three hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 69677 78809 139354 157618 278708 315236 348385 394045 487739 551663 557416 630472 696770 788090 975478 1103326 1114832 1260944 1393540 1576180 1950956 2206652 2229664 2438695 2521888 2758315 2787080 3152360 3901912 4413304 4459328 4877390 5043776 5516630 5574160 6304720 7803824 8826608 9754780 11033260 11148320 12609440 15607648 17653216 19509560 22066520 22296640 25218880 31215296 35306432 39019120 44133040 78038240 88266080 156076480 176532160 5491174693 10982349386 21964698772 27455873465 38438222851 43929397544 54911746930 76876445702 87858795088 109823493860 153752891404 175717590176 192191114255 219646987720 307505782808 351435180352 384382228510 439293975440 615011565616 768764457020 878587950880 1230023131232 1537528914040 1757175901760 2460046262464 3075057828080 6150115656160 12300231312320