123552310122144 has 72 divisors (see below), whose sum is σ = 366628050708192. Its totient is φ = 39393490181760.

The previous prime is 123552310122139. The next prime is 123552310122179. The reversal of 123552310122144 is 441221013255321.

123552310122144 is a `hidden beast` number, since 1 + 2 + 3 + 5 + 523 + 1 + 0 + 122 + 1 + 4 + 4 = 666.

123552310122144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 123552310122099 and 123552310122108.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9326103742 + ... + 9326116989.

It is an arithmetic number, because the mean of its divisors is an integer number (5092056259836).

Almost surely, 2^{123552310122144} is an apocalyptic number.

It is an amenable number.

123552310122144 is an abundant number, since it is smaller than the sum of its proper divisors (243075740586048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123552310122144 is a wasteful number, since it uses less digits than its factorization.

123552310122144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18652220770 (or 18652220759 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 123552310122144 its reverse (441221013255321), we get a palindrome (564773323377465).

The spelling of 123552310122144 in words is "one hundred twenty-three trillion, five hundred fifty-two billion, three hundred ten million, one hundred twenty-two thousand, one hundred forty-four".