123000414553341 has 96 divisors (see below), whose sum is σ = 199710566310528. Its totient is φ = 75200531777280.

The previous prime is 123000414553259. The next prime is 123000414553349. The reversal of 123000414553341 is 143355414000321.

123000414553341 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 0 + 0 + 41 + 45 + 533 + 41 = 666.

It is not a de Polignac number, because 123000414553341 - 2⁷ = 123000414553213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123000414553296 and 123000414553305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123000414553349) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5937162715 + ... + 5937183431.

It is an arithmetic number, because the mean of its divisors is an integer number (2080318399068).

Almost surely, 2^{123000414553341} is an apocalyptic number.

It is an amenable number.

123000414553341 is a deficient number, since it is larger than the sum of its proper divisors (76710151757187).

123000414553341 is a wasteful number, since it uses less digits than its factorization.

123000414553341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32873 (or 32861 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 123000414553341 its reverse (143355414000321), we get a palindrome (266355828553662).

The spelling of 123000414553341 in words is "one hundred twenty-three trillion, four hundred fourteen million, five hundred fifty-three thousand, three hundred forty-one".