123325101343444 has 144 divisors (see below), whose sum is σ = 291494473877376. Its totient is φ = 44332672550400.

The previous prime is 123325101343439. The next prime is 123325101343459. The reversal of 123325101343444 is 444343101523321.

It is a super-2 number, since 2×123325101343444² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123325101343397 and 123325101343406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115074114 + ... + 116140870.

It is an arithmetic number, because the mean of its divisors is an integer number (2024267179704).

Almost surely, 2^{123325101343444} is an apocalyptic number.

123325101343444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123325101343444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145747236938688).

123325101343444 is an abundant number, since it is smaller than the sum of its proper divisors (168169372533932).

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

123325101343444 is a wasteful number, since it uses less digits than its factorization.

123325101343444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069026 (or 1069011 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 40.

Adding to 123325101343444 its reverse (444343101523321), we get a palindrome (567668202866765).

The spelling of 123325101343444 in words is "one hundred twenty-three trillion, three hundred twenty-five billion, one hundred one million, three hundred forty-three thousand, four hundred forty-four".