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122312060213221 is a prime number
BaseRepresentation
bin11011110011110111111110…
…111001101001011111100101
3121001001220210202222020000101
4123303313332321221133211
5112012430044403310341
61112045215035144101
734522516605554224
oct3363677671513745
9531056722866011
10122312060213221
1135a77287359a5a
1211874a915a5031
135332c93277488
14222bd14674cbb
15e2193d9a8831
hex6f3dfee697e5

122312060213221 has 2 divisors, whose sum is σ = 122312060213222. Its totient is φ = 122312060213220.

The previous prime is 122312060213197. The next prime is 122312060213267.

It is a happy number.

122312060213221 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61314944908996 + 60997115304225 = 7830386^2 + 7810065^2 .

It is a palprime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122312060213221 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122312060213221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122313060213221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61156030106610 + 61156030106611.

It is an arithmetic number, because the mean of its divisors is an integer number (61156030106611).

Almost surely, 2122312060213221 is an apocalyptic number.

It is an amenable number.

122312060213221 is a deficient number, since it is larger than the sum of its proper divisors (1).

122312060213221 is an equidigital number, since it uses as much as digits as its factorization.

122312060213221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 122312060213221 in words is "one hundred twenty-two trillion, three hundred twelve billion, sixty million, two hundred thirteen thousand, two hundred twenty-one".