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123001120001 is a prime number
BaseRepresentation
bin111001010001101110…
…0000010010100000001
3102202111011022022012002
41302203130002110001
54003401241320001
6132301140513345
711613040161254
oct1624334022401
9382434268162
10123001120001
1148189a1aa91
121ba089ab855
13b7a2ba1616
145d4bb6109b
1532ed6bb46b
hex1ca3702501

123001120001 has 2 divisors, whose sum is σ = 123001120002. Its totient is φ = 123001120000.

The previous prime is 123001119979. The next prime is 123001120003. The reversal of 123001120001 is 100021100321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109124515600 + 13876604401 = 330340^2 + 117799^2 .

It is a cyclic number.

It is not a de Polignac number, because 123001120001 - 234 = 105821250817 is a prime.

Together with 123001120003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (123001120003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61500560000 + 61500560001.

It is an arithmetic number, because the mean of its divisors is an integer number (61500560001).

Almost surely, 2123001120001 is an apocalyptic number.

It is an amenable number.

123001120001 is a deficient number, since it is larger than the sum of its proper divisors (1).

123001120001 is an equidigital number, since it uses as much as digits as its factorization.

123001120001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 123001120001 its reverse (100021100321), we get a palindrome (223022220322).

The spelling of 123001120001 in words is "one hundred twenty-three billion, one million, one hundred twenty thousand, one".