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12122102100000 = 2535540407007
BaseRepresentation
bin1011000001100110010110…
…0101101111000000100000
31120220212021010201110101110
42300121211211233000200
53042102031114200000
641440452233503320
72360535663516234
oct260314545570040
946825233643343
1012122102100000
113953a55681852
121439417571b40
1369c15624b8b9
142dc9da19a5c4
151604cc705850
hexb066596f020

12122102100000 has 144 divisors (see below), whose sum is σ = 39773102858496. Its totient is φ = 3232560480000.

The previous prime is 12122102099963. The next prime is 12122102100001. The reversal of 12122102100000 is 120122121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (12122102100001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19903504 + ... + 20503503.

It is an arithmetic number, because the mean of its divisors is an integer number (276202103184).

Almost surely, 212122102100000 is an apocalyptic number.

12122102100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122102100000 is an abundant number, since it is smaller than the sum of its proper divisors (27651000758496).

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

12122102100000 is an frugal number, since it uses more digits than its factorization.

12122102100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40407045 (or 40407017 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12122102100000 its reverse (120122121), we get a palindrome (12122222222121).

The spelling of 12122102100000 in words is "twelve trillion, one hundred twenty-two billion, one hundred two million, one hundred thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3125 3750 4000 5000 6000 6250 7500 9375 10000 12000 12500 15000 18750 20000 25000 30000 37500 50000 60000 75000 100000 150000 300000 40407007 80814014 121221021 161628028 202035035 242442042 323256056 404070070 484884084 606105105 646512112 808140140 969768168 1010175175 1212210210 1293024224 1616280280 1939536336 2020350350 2424420420 3030525525 3232560560 3879072672 4040700700 4848840840 5050875875 6061051050 6465121120 8081401400 9697681680 10101751750 12122102100 15152627625 16162802800 19395363360 20203503500 24244204200 25254379375 30305255250 32325605600 40407007000 48488408400 50508758750 60610510500 75763138125 80814014000 96976816800 101017517500 121221021000 126271896875 151526276250 161628028000 202035035000 242442042000 252543793750 303052552500 378815690625 404070070000 484884084000 505087587500 606105105000 757631381250 808140140000 1010175175000 1212210210000 1515262762500 2020350350000 2424420420000 3030525525000 4040700700000 6061051050000 12122102100000