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122512320401 is a prime number
BaseRepresentation
bin111001000011001001…
…1011010011110010001
3102201020002112201012012
41302012103122132101
54001401123223101
6132140440112305
711564653353452
oct1620623323621
9381202481165
10122512320401
1147a59013679
121b8b1165695
13b72583b5a3
145d02c83129
1532c0816bbb
hex1c864da791

122512320401 has 2 divisors, whose sum is σ = 122512320402. Its totient is φ = 122512320400.

The previous prime is 122512320379. The next prime is 122512320529. The reversal of 122512320401 is 104023215221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 115355329600 + 7156990801 = 339640^2 + 84599^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122512320401 is a prime.

It is not a weakly prime, because it can be changed into another prime (122512320101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61256160200 + 61256160201.

It is an arithmetic number, because the mean of its divisors is an integer number (61256160201).

Almost surely, 2122512320401 is an apocalyptic number.

It is an amenable number.

122512320401 is a deficient number, since it is larger than the sum of its proper divisors (1).

122512320401 is an equidigital number, since it uses as much as digits as its factorization.

122512320401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 122512320401 its reverse (104023215221), we get a palindrome (226535535622).

The spelling of 122512320401 in words is "one hundred twenty-two billion, five hundred twelve million, three hundred twenty thousand, four hundred one".