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12243130400000 = 285515303913
BaseRepresentation
bin1011001000101001001101…
…1100000011110100000000
31121100102122210211010022002
42302022103130003310000
53101042412340300000
642012225542203132
72402352120220643
oct262122334036400
947312583733262
1012243130400000
1139a0311a29985
1214589737234a8
136aa6a34a13b6
143047dbcd9a5a
15163712acc8d5
hexb2293703d00

12243130400000 has 108 divisors (see below), whose sum is σ = 30546092010924. Its totient is φ = 4897251840000.

The previous prime is 12243130399987. The next prime is 12243130400089. The reversal of 12243130400000 is 403134221.

It can be written as a sum of positive squares in 6 ways, for example, as 5697883576576 + 6545246823424 = 2387024^2 + 2558368^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6851957 + ... + 8451956.

Almost surely, 212243130400000 is an apocalyptic number.

12243130400000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12243130400000 is an abundant number, since it is smaller than the sum of its proper divisors (18302961610924).

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

12243130400000 is an frugal number, since it uses more digits than its factorization.

12243130400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15303954 (or 15303920 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 12243130400000 its reverse (403134221), we get a palindrome (12243533534221).

The spelling of 12243130400000 in words is "twelve trillion, two hundred forty-three billion, one hundred thirty million, four hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3125 3200 4000 5000 6250 6400 8000 10000 12500 16000 20000 25000 32000 40000 50000 80000 100000 160000 200000 400000 800000 15303913 30607826 61215652 76519565 122431304 153039130 244862608 306078260 382597825 489725216 612156520 765195650 979450432 1224313040 1530391300 1912989125 1958900864 2448626080 3060782600 3825978250 3917801728 4897252160 6121565200 7651956500 9564945625 9794504320 12243130400 15303913000 19129891250 19589008640 24486260800 30607826000 38259782500 47824728125 48972521600 61215652000 76519565000 95649456250 97945043200 122431304000 153039130000 191298912500 244862608000 306078260000 382597825000 489725216000 612156520000 765195650000 1224313040000 1530391300000 2448626080000 3060782600000 6121565200000 12243130400000