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12220020222001 is a prime number
BaseRepresentation
bin1011000111010011000111…
…1101101110100000110001
31121021020000012221102220121
42301310301331232200301
53100203100134101001
641553444431010241
72400603331025464
oct261646175564061
947236005842817
1012220020222001
113991532927119
1214543a4069981
136a845c646b67
1430364892b2db
15162d0dca76a1
hexb1d31f6e831

12220020222001 has 2 divisors, whose sum is σ = 12220020222002. Its totient is φ = 12220020222000.

The previous prime is 12220020221947. The next prime is 12220020222037. The reversal of 12220020222001 is 10022202002221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6512704000000 + 5707316222001 = 2552000^2 + 2388999^2 .

It is a cyclic number.

It is not a de Polignac number, because 12220020222001 - 27 = 12220020221873 is a prime.

It is a super-2 number, since 2×122200202220012 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12220020222301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6110010111000 + 6110010111001.

It is an arithmetic number, because the mean of its divisors is an integer number (6110010111001).

Almost surely, 212220020222001 is an apocalyptic number.

It is an amenable number.

12220020222001 is a deficient number, since it is larger than the sum of its proper divisors (1).

12220020222001 is an equidigital number, since it uses as much as digits as its factorization.

12220020222001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 12220020222001 its reverse (10022202002221), we get a palindrome (22242222224222).

The spelling of 12220020222001 in words is "twelve trillion, two hundred twenty billion, twenty million, two hundred twenty-two thousand, one".