123013240305345 has 128 divisors (see below), whose sum is σ = 237721644357120. Its totient is φ = 59992869888000.

The previous prime is 123013240305331. The next prime is 123013240305377. The reversal of 123013240305345 is 543503042310321.

123013240305345 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 1 + 3 + 2 + 4 + 0 + 305 + 345 = 666.

It is not a de Polignac number, because 123013240305345 - 2⁷ = 123013240305217 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 379214470 + ... + 379538720.

It is an arithmetic number, because the mean of its divisors is an integer number (1857200346540).

Almost surely, 2^{123013240305345} is an apocalyptic number.

123013240305345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

123013240305345 is a deficient number, since it is larger than the sum of its proper divisors (114708404051775).

123013240305345 is a wasteful number, since it uses less digits than its factorization.

123013240305345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326304 (or 326298 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 123013240305345 its reverse (543503042310321), we get a palindrome (666516282615666).

The spelling of 123013240305345 in words is "one hundred twenty-three trillion, thirteen billion, two hundred forty million, three hundred five thousand, three hundred forty-five".