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22001222212001 is a prime number
BaseRepresentation
bin1010000000010100011110…
…00010001101100110100001
32212220022000000010011021222
411000022033002031212201
510340432000341241001
6114443115535224425
74430351540116154
oct500121702154641
985808000104258
1022001222212001
11701273640588a
122573b98978115
13c37924b18776
14560c1717dc9b
152824802da61b
hex14028f08d9a1

22001222212001 has 2 divisors, whose sum is σ = 22001222212002. Its totient is φ = 22001222212000.

The previous prime is 22001222211989. The next prime is 22001222212051. The reversal of 22001222212001 is 10021222210022.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18534919248400 + 3466302963601 = 4305220^2 + 1861801^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22001222212001 is a prime.

It is not a weakly prime, because it can be changed into another prime (22001222212051) 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, 11000611106000 + 11000611106001.

It is an arithmetic number, because the mean of its divisors is an integer number (11000611106001).

Almost surely, 222001222212001 is an apocalyptic number.

It is an amenable number.

22001222212001 is a deficient number, since it is larger than the sum of its proper divisors (1).

22001222212001 is an equidigital number, since it uses as much as digits as its factorization.

22001222212001 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 22001222212001 its reverse (10021222210022), we get a palindrome (32022444422023).

The spelling of 22001222212001 in words is "twenty-two trillion, one billion, two hundred twenty-two million, two hundred twelve thousand, one".