123004241312355 has 144 divisors (see below), whose sum is σ = 239980191010560. Its totient is φ = 57931371445248.

The previous prime is 123004241312339. The next prime is 123004241312357. The reversal of 123004241312355 is 553213142400321.

123004241312355 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 0 + 4 + 2 + 413 + 1 + 235 + 5 = 666.

It is not a de Polignac number, because 123004241312355 - 2⁴ = 123004241312339 is a prime.

It is not an unprimeable number, because it can be changed into a prime (123004241312357) 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 143 ways as a sum of consecutive naturals, for example, 52479502 + ... + 54773228.

It is an arithmetic number, because the mean of its divisors is an integer number (1666529104240).

Almost surely, 2^{123004241312355} is an apocalyptic number.

123004241312355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

123004241312355 is a deficient number, since it is larger than the sum of its proper divisors (116975949698205).

123004241312355 is a wasteful number, since it uses less digits than its factorization.

123004241312355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2293918 (or 2293886 counting only the distinct ones).

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

Adding to 123004241312355 its reverse (553213142400321), we get a palindrome (676217383712676).

The spelling of 123004241312355 in words is "one hundred twenty-three trillion, four billion, two hundred forty-one million, three hundred twelve thousand, three hundred fifty-five".