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22000122012041 is a prime number
BaseRepresentation
bin1010000000010010011010…
…11101010010000110001001
32212220012011022220012200022
411000021031131102012021
510340422222213341131
6114442414434150225
74430312350431125
oct500111535220611
985805138805608
1022000122012041
117012221374318
122573930422375
13c377aabc7a84
14560b50dcc585
1528241891537b
hex14024d752189

22000122012041 has 2 divisors, whose sum is σ = 22000122012042. Its totient is φ = 22000122012040.

The previous prime is 22000122011969. The next prime is 22000122012049. The reversal of 22000122012041 is 14021022100022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19399091713600 + 2601030298441 = 4404440^2 + 1612771^2 .

It is a cyclic number.

It is not a de Polignac number, because 22000122012041 - 234 = 21982942142857 is a prime.

It is not a weakly prime, because it can be changed into another prime (22000122012049) 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, 11000061006020 + 11000061006021.

It is an arithmetic number, because the mean of its divisors is an integer number (11000061006021).

Almost surely, 222000122012041 is an apocalyptic number.

It is an amenable number.

22000122012041 is a deficient number, since it is larger than the sum of its proper divisors (1).

22000122012041 is an equidigital number, since it uses as much as digits as its factorization.

22000122012041 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 17.

Adding to 22000122012041 its reverse (14021022100022), we get a palindrome (36021144112063).

The spelling of 22000122012041 in words is "twenty-two trillion, one hundred twenty-two million, twelve thousand, forty-one".