123005368085 has 16 divisors (see below), whose sum is σ = 147947867760. Its totient is φ = 98176942080.

The previous prime is 123005368081. The next prime is 123005368111. The reversal of 123005368085 is 580863500321.

It can be written as a sum of positive squares in 8 ways, for example, as 10526965201 + 112478402884 = 102601^2 + 335378^2 .

It is not a de Polignac number, because 123005368085 - 2² = 123005368081 is a prime.

It is a super-3 number, since 3×123005368085³ (a number of 34 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123005368081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3910079 + ... + 3941411.

It is an arithmetic number, because the mean of its divisors is an integer number (9246741735).

Almost surely, 2^123005368085 is an apocalyptic number.

It is an amenable number.

123005368085 is a deficient number, since it is larger than the sum of its proper divisors (24942499675).

123005368085 is a wasteful number, since it uses less digits than its factorization.

123005368085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33128.

The product of its (nonzero) digits is 172800, while the sum is 41.

The spelling of 123005368085 in words is "one hundred twenty-three billion, five million, three hundred sixty-eight thousand, eighty-five".