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122212021120289 is a prime number
BaseRepresentation
bin11011110010011010110100…
…000110110010110100100001
3121000201100120212202202100022
4123302122310012302310201
5112004310204401322124
61111531232154203225
734512345545366162
oct3362326406626441
9530640525682308
10122212021120289
1135a38910952851
1211859612723515
13532670c62b029
142227144359769
15e1e0360eac5e
hex6f26b41b2d21

122212021120289 has 2 divisors, whose sum is σ = 122212021120290. Its totient is φ = 122212021120288.

The previous prime is 122212021120199. The next prime is 122212021120367. The reversal of 122212021120289 is 982021120212221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 118253445313600 + 3958575806689 = 10874440^2 + 1989617^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122212021120289 is a prime.

It is not a weakly prime, because it can be changed into another prime (122212021120489) 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, 61106010560144 + 61106010560145.

It is an arithmetic number, because the mean of its divisors is an integer number (61106010560145).

Almost surely, 2122212021120289 is an apocalyptic number.

It is an amenable number.

122212021120289 is a deficient number, since it is larger than the sum of its proper divisors (1).

122212021120289 is an equidigital number, since it uses as much as digits as its factorization.

122212021120289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 35.

The spelling of 122212021120289 in words is "one hundred twenty-two trillion, two hundred twelve billion, twenty-one million, one hundred twenty thousand, two hundred eighty-nine".