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122132123021 is a prime number
BaseRepresentation
bin111000110111110100…
…1000100110110001101
3102200020121010200102202
41301233221010312031
54000111310414041
6132035015131245
711552355626336
oct1615751046615
9380217120382
10122132123021
1147883443767
121b805973b25
13b694b4161c
145ca859528d
15329c265a9b
hex1c6fa44d8d

122132123021 has 2 divisors, whose sum is σ = 122132123022. Its totient is φ = 122132123020.

The previous prime is 122132122999. The next prime is 122132123053. The reversal of 122132123021 is 120321231221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102455047396 + 19677075625 = 320086^2 + 140275^2 .

It is an emirp because it is prime and its reverse (120321231221) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122132123021 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122132122984 and 122132123002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122132126021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61066061510 + 61066061511.

It is an arithmetic number, because the mean of its divisors is an integer number (61066061511).

Almost surely, 2122132123021 is an apocalyptic number.

It is an amenable number.

122132123021 is a deficient number, since it is larger than the sum of its proper divisors (1).

122132123021 is an equidigital number, since it uses as much as digits as its factorization.

122132123021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 122132123021 its reverse (120321231221), we get a palindrome (242453354242).

The spelling of 122132123021 in words is "one hundred twenty-two billion, one hundred thirty-two million, one hundred twenty-three thousand, twenty-one".