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12022444240000 = 2754150280553
BaseRepresentation
bin1010111011110011000110…
…0001001010110010000000
31120120100000210212121222121
42232330301201022302000
53033433431211140000
641323011252014024
72350410242630365
oct256746141126200
946510023777877
1012022444240000
113915765392587
121422044301314
136929335a287c
142d7c6475c46c
1515cae8550b1a
hexaef3184ac80

12022444240000 has 80 divisors (see below), whose sum is σ = 29929123731870. Its totient is φ = 4808977664000.

The previous prime is 12022444239977. The next prime is 12022444240003. The reversal of 12022444240000 is 4244422021.

It can be written as a sum of positive squares in 5 ways, for example, as 247279441984 + 11775164798016 = 497272^2 + 3431496^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (12022444240003) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 75060277 + ... + 75220276.

Almost surely, 212022444240000 is an apocalyptic number.

12022444240000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12022444240000 is an abundant number, since it is smaller than the sum of its proper divisors (17906679491870).

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

12022444240000 is an frugal number, since it uses more digits than its factorization.

12022444240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150280587 (or 150280560 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 12022444240000 its reverse (4244422021), we get a palindrome (12026688662021).

The spelling of 12022444240000 in words is "twelve trillion, twenty-two billion, four hundred forty-four million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3200 4000 5000 8000 10000 16000 20000 40000 80000 150280553 300561106 601122212 751402765 1202244424 1502805530 2404488848 3005611060 3757013825 4808977696 6011222120 7514027650 9617955392 12022444240 15028055300 18785069125 19235910784 24044888480 30056110600 37570138250 48089776960 60112221200 75140276500 93925345625 96179553920 120224442400 150280553000 187850691250 240448884800 300561106000 375701382500 480897769600 601122212000 751402765000 1202244424000 1502805530000 2404488848000 3005611060000 6011222120000 12022444240000