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122113000123 is a prime number
BaseRepresentation
bin111000110111010000…
…0001000001010111011
3102200012021011010202021
41301232200020022323
54000041412000443
6132033053215311
711552034242422
oct1615640101273
9380167133667
10122113000123
1147873672414
121b7bb491537
13b690ba74ba
145ca5c182b9
15329a7399ed
hex1c6e8082bb

122113000123 has 2 divisors, whose sum is σ = 122113000124. Its totient is φ = 122113000122.

The previous prime is 122113000111. The next prime is 122113000127. The reversal of 122113000123 is 321000311221.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122113000123 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122113000097 and 122113000106.

It is not a weakly prime, because it can be changed into another prime (122113000127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61056500061 + 61056500062.

It is an arithmetic number, because the mean of its divisors is an integer number (61056500062).

Almost surely, 2122113000123 is an apocalyptic number.

122113000123 is a deficient number, since it is larger than the sum of its proper divisors (1).

122113000123 is an equidigital number, since it uses as much as digits as its factorization.

122113000123 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 122113000123 its reverse (321000311221), we get a palindrome (443113311344).

The spelling of 122113000123 in words is "one hundred twenty-two billion, one hundred thirteen million, one hundred twenty-three", and thus it is an aban number.