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122311120123 is a prime number
BaseRepresentation
bin111000111101001001…
…1111001010011111011
3102200201001221200022001
41301322103321103323
54000443121320443
6132104451441431
711556661236643
oct1617223712373
9380631850261
10122311120123
1147965490955
121b8558b6277
13b6c2c53b7a
145cc426b523
1532acd21d4d
hex1c7a4f94fb

122311120123 has 2 divisors, whose sum is σ = 122311120124. Its totient is φ = 122311120122.

The previous prime is 122311120117. The next prime is 122311120159. The reversal of 122311120123 is 321021113221.

It is a weak prime.

It is an emirp because it is prime and its reverse (321021113221) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122311120123 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122311120123.

It is not a weakly prime, because it can be changed into another prime (122311120103) 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, 61155560061 + 61155560062.

It is an arithmetic number, because the mean of its divisors is an integer number (61155560062).

Almost surely, 2122311120123 is an apocalyptic number.

122311120123 is a deficient number, since it is larger than the sum of its proper divisors (1).

122311120123 is an equidigital number, since it uses as much as digits as its factorization.

122311120123 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 122311120123 its reverse (321021113221), we get a palindrome (443332233344).

The spelling of 122311120123 in words is "one hundred twenty-two billion, three hundred eleven million, one hundred twenty thousand, one hundred twenty-three".