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12200121220033 is a prime number
BaseRepresentation
bin1011000110001000111111…
…1001000011101111000001
31121012022122102110101220201
42301202033321003233001
53044341322013020113
641540354110205201
72366300243221465
oct261421771035701
947168572411821
1012200121220033
11398405141044a
12145056bab3801
136a660ab72096
143026bbc164a5
15162546d3bcdd
hexb188fe43bc1

12200121220033 has 2 divisors, whose sum is σ = 12200121220034. Its totient is φ = 12200121220032.

The previous prime is 12200121220003. The next prime is 12200121220277. The reversal of 12200121220033 is 33002212100221.

12200121220033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8016554147904 + 4183567072129 = 2831352^2 + 2045377^2 .

It is a cyclic number.

It is not a de Polignac number, because 12200121220033 - 221 = 12200119122881 is a prime.

It is not a weakly prime, because it can be changed into another prime (12200121220003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6100060610016 + 6100060610017.

It is an arithmetic number, because the mean of its divisors is an integer number (6100060610017).

Almost surely, 212200121220033 is an apocalyptic number.

It is an amenable number.

12200121220033 is a deficient number, since it is larger than the sum of its proper divisors (1).

12200121220033 is an equidigital number, since it uses as much as digits as its factorization.

12200121220033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 12200121220033 its reverse (33002212100221), we get a palindrome (45202333320254).

The spelling of 12200121220033 in words is "twelve trillion, two hundred billion, one hundred twenty-one million, two hundred twenty thousand, thirty-three".