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12122102111120 = 245151526276389
BaseRepresentation
bin1011000001100110010110…
…0101110001101110010000
31120220212021010202000122022
42300121211211301232100
53042102031120023440
641440452234031012
72360535663563531
oct260314545615620
946825233660568
1012122102111120
113953a5568a141
121439417578468
1369c156253991
142dc9da1a0688
151604cc708cb5
hexb0665971b90

12122102111120 has 20 divisors (see below), whose sum is σ = 28183887408540. Its totient is φ = 4848840844416.

The previous prime is 12122102111107. The next prime is 12122102111137. The reversal of 12122102111120 is 2111120122121.

It can be written as a sum of positive squares in 2 ways, for example, as 9374888680336 + 2747213430784 = 3061844^2 + 1657472^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 75763138115 + ... + 75763138274.

It is an arithmetic number, because the mean of its divisors is an integer number (1409194370427).

Almost surely, 212122102111120 is an apocalyptic number.

12122102111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122102111120 is an abundant number, since it is smaller than the sum of its proper divisors (16061785297420).

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

12122102111120 is a wasteful number, since it uses less digits than its factorization.

12122102111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151526276402 (or 151526276396 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 12122102111120 its reverse (2111120122121), we get a palindrome (14233222233241).

The spelling of 12122102111120 in words is "twelve trillion, one hundred twenty-two billion, one hundred two million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 151526276389 303052552778 606105105556 757631381945 1212210211112 1515262763890 2424420422224 3030525527780 6061051055560 12122102111120