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12021122033 is a prime number
BaseRepresentation
bin10110011001000001…
…11100001111110001
31011000202212021022222
423030200330033301
5144104401401113
65304502210425
7603615565004
oct131440741761
934022767288
1012021122033
1151096789a8
1223b5a23a15
13119764b87b
1482075953b
154a5543e08
hex2cc83c3f1

12021122033 has 2 divisors, whose sum is σ = 12021122034. Its totient is φ = 12021122032.

The previous prime is 12021121997. The next prime is 12021122039. The reversal of 12021122033 is 33022112021.

12021122033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11657952784 + 363169249 = 107972^2 + 19057^2 .

It is a cyclic number.

It is not a de Polignac number, because 12021122033 - 26 = 12021121969 is a prime.

It is not a weakly prime, because it can be changed into another prime (12021122039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6010561016 + 6010561017.

It is an arithmetic number, because the mean of its divisors is an integer number (6010561017).

Almost surely, 212021122033 is an apocalyptic number.

It is an amenable number.

12021122033 is a deficient number, since it is larger than the sum of its proper divisors (1).

12021122033 is an equidigital number, since it uses as much as digits as its factorization.

12021122033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 12021122033 its reverse (33022112021), we get a palindrome (45043234054).

The spelling of 12021122033 in words is "twelve billion, twenty-one million, one hundred twenty-two thousand, thirty-three".