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12230132330300 = 22524319791437199
BaseRepresentation
bin1011000111111000110010…
…1100010110111100111100
31121022012002221122202201012
42301332030230112330330
53100334302334032200
642002240100334352
72401412036363003
oct261761454267474
947265087582635
1012230132330300
113995851952815
1214563466a43b8
136a93b16271b1
14303d27913c3a
1516320190ca35
hexb1f8cb16f3c

12230132330300 has 72 divisors (see below), whose sum is σ = 27170323488000. Its totient is φ = 4775866441920.

The previous prime is 12230132330179. The next prime is 12230132330327. The reversal of 12230132330300 is 303323103221.

It is a super-2 number, since 2×122301323303002 (a number of 27 digits) contains 22 as substring.

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, 7791101 + ... + 9228299.

It is an arithmetic number, because the mean of its divisors is an integer number (377365604000).

Almost surely, 212230132330300 is an apocalyptic number.

12230132330300 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 12230132330300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13585161744000).

12230132330300 is an abundant number, since it is smaller than the sum of its proper divisors (14940191157700).

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

12230132330300 is a wasteful number, since it uses less digits than its factorization.

12230132330300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439235 (or 1439228 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 12230132330300 its reverse (303323103221), we get a palindrome (12533455433521).

The spelling of 12230132330300 in words is "twelve trillion, two hundred thirty billion, one hundred thirty-two million, three hundred thirty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 430 860 1075 1979 2150 3958 4300 7916 9895 19790 39580 49475 85097 98950 170194 197900 340388 425485 850970 1437199 1701940 2127425 2874398 4254850 5748796 7185995 8509700 14371990 28743980 35929975 61799557 71859950 123599114 143719900 247198228 308997785 617995570 1235991140 1544988925 2844216821 3089977850 5688433642 6179955700 11376867284 14221084105 28442168210 56884336420 71105420525 122301323303 142210841050 244602646606 284421682100 489205293212 611506616515 1223013233030 2446026466060 3057533082575 6115066165150 12230132330300