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12033120161 is a prime number
BaseRepresentation
bin10110011010011101…
…01101011110100001
31011001121102211200002
423031032231132201
5144120434321121
65310011305345
7604122555656
oct131516553641
934047384602
1012033120161
115115423307
1223b9a4b255
131199c8ca5a
1482219dc2d
154a6613e0b
hex2cd3ad7a1

12033120161 has 2 divisors, whose sum is σ = 12033120162. Its totient is φ = 12033120160.

The previous prime is 12033120101. The next prime is 12033120163. The reversal of 12033120161 is 16102133021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11676099136 + 357021025 = 108056^2 + 18895^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12033120161 is a prime.

Together with 12033120163, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (12033120163) 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 as a sum of consecutive naturals, namely, 6016560080 + 6016560081.

It is an arithmetic number, because the mean of its divisors is an integer number (6016560081).

Almost surely, 212033120161 is an apocalyptic number.

It is an amenable number.

12033120161 is a deficient number, since it is larger than the sum of its proper divisors (1).

12033120161 is an equidigital number, since it uses as much as digits as its factorization.

12033120161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 12033120161 its reverse (16102133021), we get a palindrome (28135253182).

The spelling of 12033120161 in words is "twelve billion, thirty-three million, one hundred twenty thousand, one hundred sixty-one".