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122312143405117 is a prime number
BaseRepresentation
bin11011110011111000000011…
…110111000000000000111101
3121001001221000120111210211201
4123303320003313000000331
5112012430232202430432
61112045231210215501
734522521635643211
oct3363700367000075
9531057016453751
10122312143405117
1135a7731a310296
1211874ab5424591
135332ca7584653
14222bd2172c941
15e21945e3cee7
hex6f3e03dc003d

122312143405117 has 2 divisors, whose sum is σ = 122312143405118. Its totient is φ = 122312143405116.

The previous prime is 122312143405031. The next prime is 122312143405147. The reversal of 122312143405117 is 711504341213221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68486531884281 + 53825611520836 = 8275659^2 + 7336594^2 .

It is a cyclic number.

It is not a de Polignac number, because 122312143405117 - 27 = 122312143404989 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122312143405147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61156071702558 + 61156071702559.

It is an arithmetic number, because the mean of its divisors is an integer number (61156071702559).

Almost surely, 2122312143405117 is an apocalyptic number.

It is an amenable number.

122312143405117 is a deficient number, since it is larger than the sum of its proper divisors (1).

122312143405117 is an equidigital number, since it uses as much as digits as its factorization.

122312143405117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40320, while the sum is 37.

Adding to 122312143405117 its reverse (711504341213221), we get a palindrome (833816484618338).

The spelling of 122312143405117 in words is "one hundred twenty-two trillion, three hundred twelve billion, one hundred forty-three million, four hundred five thousand, one hundred seventeen".