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12330120300 = 22352199672237
BaseRepresentation
bin10110111101110111…
…01011010001101100
31011211022022000021020
423132323223101230
5200223002322200
65355301134140
7614360202411
oct133673532154
934738260236
1012330120300
115258038973
1224813ba350
13121667a294
1484d7d2108
154c272dea0
hex2deeeb46c

12330120300 has 144 divisors (see below), whose sum is σ = 37608426240. Its totient is φ = 3110365440.

The previous prime is 12330120289. The next prime is 12330120311. The reversal of 12330120300 is 302103321.

It is an interprime number because it is at equal distance from previous prime (12330120289) and next prime (12330120311).

It is a super-2 number, since 2×123301203002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12330120300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5510782 + ... + 5513018.

Almost surely, 212330120300 is an apocalyptic number.

12330120300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12330120300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18804213120).

12330120300 is an abundant number, since it is smaller than the sum of its proper divisors (25278305940).

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

12330120300 is a wasteful number, since it uses less digits than its factorization.

12330120300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3240 (or 3233 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 12330120300 its reverse (302103321), we get a palindrome (12632223621).

It can be divided in two parts, 12 and 330120300, that multiplied together give a square (3961443600 = 629402).

The spelling of 12330120300 in words is "twelve billion, three hundred thirty million, one hundred twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 967 1140 1425 1900 1934 2237 2850 2901 3868 4474 4835 5700 5802 6711 8948 9670 11185 11604 13422 14505 18373 19340 22370 24175 26844 29010 33555 36746 42503 44740 48350 55119 55925 58020 67110 72525 73492 85006 91865 96700 110238 111850 127509 134220 145050 167775 170012 183730 212515 220476 223700 255018 275595 290100 335550 367460 425030 459325 510036 551190 637545 671100 850060 918650 1062575 1102380 1275090 1377975 1837300 2125150 2163179 2550180 2755950 3187725 4250300 4326358 5511900 6375450 6489537 8652716 10815895 12750900 12979074 21631790 25958148 32447685 41100401 43263580 54079475 64895370 82200802 108158950 123301203 129790740 162238425 164401604 205502005 216317900 246602406 324476850 411004010 493204812 616506015 648953700 822008020 1027510025 1233012030 2055020050 2466024060 3082530075 4110040100 6165060150 12330120300