123132331253344 has 72 divisors (see below), whose sum is σ = 282464238342888. Its totient is φ = 52683193382400.

The previous prime is 123132331253333. The next prime is 123132331253369. The reversal of 123132331253344 is 443352133231321.

It is a super-2 number, since 2×123132331253344² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123132331253297 and 123132331253306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64388974 + ... + 66273709.

It is an arithmetic number, because the mean of its divisors is an integer number (3923114421429).

Almost surely, 2^{123132331253344} is an apocalyptic number.

123132331253344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

123132331253344 is an abundant number, since it is smaller than the sum of its proper divisors (159331907089544).

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

123132331253344 is a wasteful number, since it uses less digits than its factorization.

123132331253344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130663308 (or 130663293 counting only the distinct ones).

The product of its digits is 466560, while the sum is 40.

Adding to 123132331253344 its reverse (443352133231321), we get a palindrome (566484464484665).

The spelling of 123132331253344 in words is "one hundred twenty-three trillion, one hundred thirty-two billion, three hundred thirty-one million, two hundred fifty-three thousand, three hundred forty-four".