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12200131414040 = 2352231585986243
BaseRepresentation
bin1011000110001001000001…
…1111111100100000011000
31121012022200010122022110112
42301202100133330200120
53044341332120222130
641540355112503452
72366300425656563
oct261422037744030
947168603568415
1012200131414040
113984057143349
1214505733aab88
136a661000103b
143026bd30b4da
15162547ba2495
hexb18907fc818

12200131414040 has 64 divisors (see below), whose sum is σ = 27575449574400. Its totient is φ = 4857806259072.

The previous prime is 12200131414033. The next prime is 12200131414067. The reversal of 12200131414040 is 4041413100221.

It is a junction number, because it is equal to n+sod(n) for n = 12200131413997 and 12200131414015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141419159 + ... + 141505401.

It is an arithmetic number, because the mean of its divisors is an integer number (430866399600).

Almost surely, 212200131414040 is an apocalyptic number.

12200131414040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12200131414040 is an abundant number, since it is smaller than the sum of its proper divisors (15375318160360).

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

12200131414040 is a wasteful number, since it uses less digits than its factorization.

12200131414040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102336 (or 102332 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 12200131414040 its reverse (4041413100221), we get a palindrome (16241544514261).

The spelling of 12200131414040 in words is "twelve trillion, two hundred billion, one hundred thirty-one million, four hundred fourteen thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 223 446 892 1115 1784 2230 4460 8920 15859 31718 63436 79295 86243 126872 158590 172486 317180 344972 431215 634360 689944 862430 1724860 3449720 3536557 7073114 14146228 17682785 19232189 28292456 35365570 38464378 70731140 76928756 96160945 141462280 153857512 192321890 384643780 769287560 1367727737 2735455474 5470910948 6838638685 10941821896 13677277370 27354554740 54709109480 305003285351 610006570702 1220013141404 1525016426755 2440026282808 3050032853510 6100065707020 12200131414040