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123000323110121 = 312149859006789
BaseRepresentation
bin11011111101111000111110…
…100100001111010011101001
3121010111201100000001000011002
4123331320332210033103221
5112110214130204010441
61113333322433444345
734623323445632252
oct3375707644172351
9533451300030132
10123000323110121
1136212164869346
12119663534106b5
135382b5ab895a2
142253366c33b29
15e347c2420b9b
hex6fde3e90f4e9

123000323110121 has 12 divisors (see below), whose sum is σ = 127949061370500. Its totient is φ = 118233694300320.

The previous prime is 123000323110097. The next prime is 123000323110199. The reversal of 123000323110121 is 121011323000321.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 13183253265625 + 109817069844496 = 3630875^2 + 10479364^2 .

It is not a de Polignac number, because 123000323110121 - 242 = 118602276599017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 123000323110093 and 123000323110102.

It is not an unprimeable number, because it can be changed into a prime (123000323110421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 429360206 + ... + 429646583.

It is an arithmetic number, because the mean of its divisors is an integer number (10662421780875).

Almost surely, 2123000323110121 is an apocalyptic number.

It is an amenable number.

123000323110121 is a deficient number, since it is larger than the sum of its proper divisors (4948738260379).

123000323110121 is an equidigital number, since it uses as much as digits as its factorization.

123000323110121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859007000 (or 859006969 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 123000323110121 its reverse (121011323000321), we get a palindrome (244011646110442).

The spelling of 123000323110121 in words is "one hundred twenty-three trillion, three hundred twenty-three million, one hundred ten thousand, one hundred twenty-one".

Divisors: 1 31 149 961 4619 143189 859006789 26629210459 127992011561 825505524229 3967752358391 123000323110121