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12124330322121 = 321433940089193
BaseRepresentation
bin1011000001101110101001…
…1001101110100011001001
31120221002000102111212111200
42300123222121232203021
53042121112030301441
641441501312214413
72360645131220523
oct260335231564311
946832012455450
1012124330322121
113954999428036
12143993983a409
1369c41ca81c24
142dcb6c0a2a13
151605ad1497b6
hexb06ea66e8c9

12124330322121 has 12 divisors (see below), whose sum is σ = 17525142754548. Its totient is φ = 8077246337664.

The previous prime is 12124330322113. The next prime is 12124330322123. The reversal of 12124330322121 is 12122303342121.

12124330322121 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 4 + 330 + 322 + 1 + 2 + 1 = 666.

12124330322121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9808954205625 + 2315376116496 = 3131925^2 + 1521636^2 .

It is not a de Polignac number, because 12124330322121 - 23 = 12124330322113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12124330322123) 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, 470031700 + ... + 470057493.

It is an arithmetic number, because the mean of its divisors is an integer number (1460428562879).

Almost surely, 212124330322121 is an apocalyptic number.

It is an amenable number.

12124330322121 is a deficient number, since it is larger than the sum of its proper divisors (5400812432427).

12124330322121 is a wasteful number, since it uses less digits than its factorization.

12124330322121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940090632 (or 940090629 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 12124330322121 its reverse (12122303342121), we get a palindrome (24246633664242).

The spelling of 12124330322121 in words is "twelve trillion, one hundred twenty-four billion, three hundred thirty million, three hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 1433 4299 12897 940089193 2820267579 8460802737 1347147813569 4041443440707 12124330322121