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121122001321 is a prime number
BaseRepresentation
bin111000011001101101…
…1110001000110101001
3102120122012102011221221
41300303123301012221
53441024213020241
6131350452502041
711515342011166
oct1606333610651
9376565364857
10121122001321
1147405237342
121b58361a921
13b56379c389
145c1037106d
15323d7355d1
hex1c336f11a9

121122001321 has 2 divisors, whose sum is σ = 121122001322. Its totient is φ = 121122001320.

The previous prime is 121122001291. The next prime is 121122001337. The reversal of 121122001321 is 123100221121.

It is an a-pointer prime, because the next prime (121122001337) can be obtained adding 121122001321 to its sum of digits (16).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95829870096 + 25292131225 = 309564^2 + 159035^2 .

It is a cyclic number.

It is not a de Polignac number, because 121122001321 - 215 = 121121968553 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121122001295 and 121122001304.

It is not a weakly prime, because it can be changed into another prime (121122001381) 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, 60561000660 + 60561000661.

It is an arithmetic number, because the mean of its divisors is an integer number (60561000661).

Almost surely, 2121122001321 is an apocalyptic number.

It is an amenable number.

121122001321 is a deficient number, since it is larger than the sum of its proper divisors (1).

121122001321 is an equidigital number, since it uses as much as digits as its factorization.

121122001321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 121122001321 its reverse (123100221121), we get a palindrome (244222222442).

The spelling of 121122001321 in words is "one hundred twenty-one billion, one hundred twenty-two million, one thousand, three hundred twenty-one".