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122022203320001 is a prime number
BaseRepresentation
bin11011101111101010000010…
…000101010110011011000001
3121000001012122011002101222202
4123233222002011112123001
5111443202433022220001
61111304120520042545
734462545643613465
oct3357520205263301
9530035564071882
10122022203320001
1135975364730a36
1211828879003455
13531184b9904ca
14221bc986a84a5
15e19126a2496b
hex6efa821566c1

122022203320001 has 2 divisors, whose sum is σ = 122022203320002. Its totient is φ = 122022203320000.

The previous prime is 122022203319997. The next prime is 122022203320027. The reversal of 122022203320001 is 100023302220221.

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., 92654485518400 + 29367717801601 = 9625720^2 + 5419199^2 .

It is a cyclic number.

It is not a de Polignac number, because 122022203320001 - 22 = 122022203319997 is a prime.

It is not a weakly prime, because it can be changed into another prime (122022203320051) 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, 61011101660000 + 61011101660001.

It is an arithmetic number, because the mean of its divisors is an integer number (61011101660001).

Almost surely, 2122022203320001 is an apocalyptic number.

It is an amenable number.

122022203320001 is a deficient number, since it is larger than the sum of its proper divisors (1).

122022203320001 is an equidigital number, since it uses as much as digits as its factorization.

122022203320001 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 122022203320001 its reverse (100023302220221), we get a palindrome (222045505540222).

The spelling of 122022203320001 in words is "one hundred twenty-two trillion, twenty-two billion, two hundred three million, three hundred twenty thousand, one".