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12233222000201 is a prime number
BaseRepresentation
bin1011001000000100010011…
…0110100000111001001001
31121022111002021102021000202
42302001010312200321021
53100412114313001301
642003510430541545
72401551434214656
oct262010466407111
947274067367022
1012233222000201
113997097999514
121456a693678b5
136a9784776337
1430413bdbcc2d
15163332cb566b
hexb2044da0e49

12233222000201 has 2 divisors, whose sum is σ = 12233222000202. Its totient is φ = 12233222000200.

The previous prime is 12233222000179. The next prime is 12233222000221. The reversal of 12233222000201 is 10200022233221.

It is a happy number.

It is an a-pointer prime, because the next prime (12233222000221) can be obtained adding 12233222000201 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8887249360201 + 3345972640000 = 2981149^2 + 1829200^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12233222000201 is a prime.

It is a super-3 number, since 3×122332220002013 (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (12233222000221) 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, 6116611000100 + 6116611000101.

It is an arithmetic number, because the mean of its divisors is an integer number (6116611000101).

Almost surely, 212233222000201 is an apocalyptic number.

It is an amenable number.

12233222000201 is a deficient number, since it is larger than the sum of its proper divisors (1).

12233222000201 is an equidigital number, since it uses as much as digits as its factorization.

12233222000201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 12233222000201 its reverse (10200022233221), we get a palindrome (22433244233422).

The spelling of 12233222000201 in words is "twelve trillion, two hundred thirty-three billion, two hundred twenty-two million, two hundred one", and thus it is an aban number.