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122200141123 is a prime number
BaseRepresentation
bin111000111001110110…
…0100010110101000011
3102200102100010100201201
41301303230202311003
54000231214003443
6132045445042031
711554143030004
oct1616354426503
9380370110651
10122200141123
1147908880775
121b8246b6317
13b6a5c68018
145cb361d1ab
1532a31ee34d
hex1c73b22d43

122200141123 has 2 divisors, whose sum is σ = 122200141124. Its totient is φ = 122200141122.

The previous prime is 122200141117. The next prime is 122200141157. The reversal of 122200141123 is 321141002221.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 122200141123 - 221 = 122198043971 is a prime.

It is a super-3 number, since 3×1222001411233 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 122200141123.

It is not a weakly prime, because it can be changed into another prime (122200141223) 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, 61100070561 + 61100070562.

It is an arithmetic number, because the mean of its divisors is an integer number (61100070562).

Almost surely, 2122200141123 is an apocalyptic number.

122200141123 is a deficient number, since it is larger than the sum of its proper divisors (1).

122200141123 is an equidigital number, since it uses as much as digits as its factorization.

122200141123 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 122200141123 its reverse (321141002221), we get a palindrome (443341143344).

The spelling of 122200141123 in words is "one hundred twenty-two billion, two hundred million, one hundred forty-one thousand, one hundred twenty-three".