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122221000001 is a prime number
BaseRepresentation
bin111000111010011110…
…0000111010101000001
3102200110210101002201202
41301310330013111001
54000302034000001
6132051512110545
711554515234032
oct1616474072501
9380423332652
10122221000001
1147919628311
121b82b695455
13b6aa38c359
145cb62cca89
1532a4e6e96b
hex1c74f07541

122221000001 has 2 divisors, whose sum is σ = 122221000002. Its totient is φ = 122221000000.

The previous prime is 122220999947. The next prime is 122221000021. The reversal of 122221000001 is 100000122221.

Adding to 122221000001 its reverse (100000122221), we get a palindrome (222221122222).

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96804988225 + 25416011776 = 311135^2 + 159424^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122221000001 is a prime.

It is not a weakly prime, because it can be changed into another prime (122221000021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61110500000 + 61110500001.

It is an arithmetic number, because the mean of its divisors is an integer number (61110500001).

Almost surely, 2122221000001 is an apocalyptic number.

It is an amenable number.

122221000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

122221000001 is an equidigital number, since it uses as much as digits as its factorization.

122221000001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 11.

The spelling of 122221000001 in words is "one hundred twenty-two billion, two hundred twenty-one million, one", and thus it is an aban number.