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122124314201 is a prime number
BaseRepresentation
bin111000110111100101…
…1010010011001011001
3102200020001102221202012
41301233023102121121
54000102311023301
6132034135515305
711552232354161
oct1615713223131
9380201387665
10122124314201
1147879a9a89a
121b803228b35
13b693339216
145ca75215a1
15329b721ebb
hex1c6f2d2659

122124314201 has 2 divisors, whose sum is σ = 122124314202. Its totient is φ = 122124314200.

The previous prime is 122124314189. The next prime is 122124314237. The reversal of 122124314201 is 102413421221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94617760000 + 27506554201 = 307600^2 + 165851^2 .

It is an emirp because it is prime and its reverse (102413421221) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122124314201 is a prime.

It is not a weakly prime, because it can be changed into another prime (122124304201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61062157100 + 61062157101.

It is an arithmetic number, because the mean of its divisors is an integer number (61062157101).

Almost surely, 2122124314201 is an apocalyptic number.

It is an amenable number.

122124314201 is a deficient number, since it is larger than the sum of its proper divisors (1).

122124314201 is an equidigital number, since it uses as much as digits as its factorization.

122124314201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 122124314201 its reverse (102413421221), we get a palindrome (224537735422).

The spelling of 122124314201 in words is "one hundred twenty-two billion, one hundred twenty-four million, three hundred fourteen thousand, two hundred one".