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122621440217 is a prime number
BaseRepresentation
bin111001000110011001…
…1101011000011011001
3102201111200212120102212
41302030303223003121
54002112042041332
6132155335004505
711600450021153
oct1621463530331
9381450776385
10122621440217
1148004673a41
121b921809735
13b742326123
145d13569ad3
1532ca1bd8b2
hex1c8cceb0d9

122621440217 has 2 divisors, whose sum is σ = 122621440218. Its totient is φ = 122621440216.

The previous prime is 122621440163. The next prime is 122621440229. The reversal of 122621440217 is 712044126221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 117744373321 + 4877066896 = 343139^2 + 69836^2 .

It is an emirp because it is prime and its reverse (712044126221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122621440217 - 28 = 122621439961 is a prime.

It is not a weakly prime, because it can be changed into another prime (122621440267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61310720108 + 61310720109.

It is an arithmetic number, because the mean of its divisors is an integer number (61310720109).

Almost surely, 2122621440217 is an apocalyptic number.

It is an amenable number.

122621440217 is a deficient number, since it is larger than the sum of its proper divisors (1).

122621440217 is an equidigital number, since it uses as much as digits as its factorization.

122621440217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10752, while the sum is 32.

Adding to 122621440217 its reverse (712044126221), we get a palindrome (834665566438).

The spelling of 122621440217 in words is "one hundred twenty-two billion, six hundred twenty-one million, four hundred forty thousand, two hundred seventeen".