123410000205505 has 32 divisors (see below), whose sum is σ = 159982048749600. Its totient is φ = 90849140705280.

The previous prime is 123410000205469. The next prime is 123410000205521. The reversal of 123410000205505 is 505502000014321.

It can be written as a sum of positive squares in 16 ways, for example, as 18300590970561 + 105109409234944 = 4277919^2 + 10252288^2 .

It is not a de Polignac number, because 123410000205505 - 2¹⁹ = 123409999681217 is a prime.

It is a super-3 number, since 3×123410000205505³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29470239 + ... + 33396331.

It is an arithmetic number, because the mean of its divisors is an integer number (4999439023425).

Almost surely, 2^{123410000205505} is an apocalyptic number.

It is an amenable number.

123410000205505 is a deficient number, since it is larger than the sum of its proper divisors (36572048544095).

123410000205505 is a wasteful number, since it uses less digits than its factorization.

123410000205505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3927621.

The product of its (nonzero) digits is 6000, while the sum is 28.

Adding to 123410000205505 its reverse (505502000014321), we get a palindrome (628912000219826).

The spelling of 123410000205505 in words is "one hundred twenty-three trillion, four hundred ten billion, two hundred five thousand, five hundred five".