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122322333011201 is a prime number
BaseRepresentation
bin11011110100000001100011…
…001101010000110100000001
3121001002220022201001102121122
4123310001203031100310001
5112013112114222324301
61112054034245002025
734523332305112451
oct3364014315206401
9531086281042548
10122322333011201
1135a80679059144
1211876a799b3315
135333c3c62a16b
14222c60ab29d61
15e21d407a081b
hex6f4063350d01

122322333011201 has 2 divisors, whose sum is σ = 122322333011202. Its totient is φ = 122322333011200.

The previous prime is 122322333011161. The next prime is 122322333011231. The reversal of 122322333011201 is 102110333223221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98840361538801 + 23481971472400 = 9941849^2 + 4845820^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122322333011201 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (122322333011231) 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, 61161166505600 + 61161166505601.

It is an arithmetic number, because the mean of its divisors is an integer number (61161166505601).

Almost surely, 2122322333011201 is an apocalyptic number.

It is an amenable number.

122322333011201 is a deficient number, since it is larger than the sum of its proper divisors (1).

122322333011201 is an equidigital number, since it uses as much as digits as its factorization.

122322333011201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 122322333011201 its reverse (102110333223221), we get a palindrome (224432666234422).

The spelling of 122322333011201 in words is "one hundred twenty-two trillion, three hundred twenty-two billion, three hundred thirty-three million, eleven thousand, two hundred one".