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12311311231200 = 253525129713013
BaseRepresentation
bin1011001100100111001101…
…0101010010100011100000
31121120221122110002012201110
42303021303111102203200
53103202031133344300
642103423250103320
72410314524555322
oct263116325224340
947527573065643
1012311311231200
113a1721a264563
12146a02127ab40
136b3c4aa769b7
14307c29089612
151653a364a550
hexb32735528e0

12311311231200 has 72 divisors (see below), whose sum is σ = 40073318065368. Its totient is φ = 3283016327680.

The previous prime is 12311311231147. The next prime is 12311311231201. The reversal of 12311311231200 is 213211311321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12311311231201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2564854107 + ... + 2564858906.

It is an arithmetic number, because the mean of its divisors is an integer number (556573862019).

Almost surely, 212311311231200 is an apocalyptic number.

12311311231200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12311311231200 is an abundant number, since it is smaller than the sum of its proper divisors (27762006834168).

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

12311311231200 is a wasteful number, since it uses less digits than its factorization.

12311311231200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5129713036 (or 5129713023 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 12311311231200 its reverse (213211311321), we get a palindrome (12524522542521).

The spelling of 12311311231200 in words is "twelve trillion, three hundred eleven billion, three hundred eleven million, two hundred thirty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 5129713013 10259426026 15389139039 20518852052 25648565065 30778278078 41037704104 51297130130 61556556156 76945695195 82075408208 102594260260 123113112312 128242825325 153891390390 164150816416 205188520520 246226224624 256485650650 307782780780 384728475975 410377041040 492452449248 512971301300 615565561560 769456951950 820754082080 1025942602600 1231131123120 1538913903900 2051885205200 2462262246240 3077827807800 4103770410400 6155655615600 12311311231200