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12000330300300 = 22352173231220237
BaseRepresentation
bin1010111010100000101101…
…1011001011101110001100
31120111012221122121002121220
42232220023123023232030
53033103134024102200
641304513045323340
72345665241351106
oct256501333135614
946435848532556
1012000330300300
113907347674361
1214198b2406550
1369081ac69254
142d6b677dc576
1515c251e174a0
hexaea0b6cbb8c

12000330300300 has 72 divisors (see below), whose sum is σ = 34921654985616. Its totient is φ = 3181590447360.

The previous prime is 12000330300269. The next prime is 12000330300323. The reversal of 12000330300300 is 300303300021.

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 12000330300300.

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 23 ways as a sum of consecutive naturals, for example, 115558219 + ... + 115662018.

Almost surely, 212000330300300 is an apocalyptic number.

12000330300300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000330300300 is an abundant number, since it is smaller than the sum of its proper divisors (22921324685316).

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

12000330300300 is a wasteful number, since it uses less digits than its factorization.

12000330300300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231220427 (or 231220420 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

Adding to 12000330300300 its reverse (300303300021), we get a palindrome (12300633600321).

The spelling of 12000330300300 in words is "twelve trillion, three hundred thirty million, three hundred thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 173 300 346 519 692 865 1038 1730 2076 2595 3460 4325 5190 8650 10380 12975 17300 25950 51900 231220237 462440474 693660711 924880948 1156101185 1387321422 2312202370 2774642844 3468303555 4624404740 5780505925 6936607110 11561011850 13873214220 17341517775 23122023700 34683035550 40001101001 69366071100 80002202002 120003303003 160004404004 200005505005 240006606006 400011010010 480013212012 600016515015 800022020020 1000027525025 1200033030030 2000055050050 2400066060060 3000082575075 4000110100100 6000165150150 12000330300300