123322134032240 has 320 divisors, whose sum is σ = 347081850339840. Its totient is φ = 40144827985920.

The previous prime is 123322134032219. The next prime is 123322134032257. The reversal of 123322134032240 is 42230431223321.

It is a junction number, because it is equal to n+sod(n) for n = 123322134032197 and 123322134032206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 129472451 + ... + 130421469.

It is an arithmetic number, because the mean of its divisors is an integer number (1084630782312).

Almost surely, 2^{123322134032240} is an apocalyptic number.

123322134032240 is a gapful number since it is divisible by the number (10) 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 123322134032240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173540925169920).

123322134032240 is an abundant number, since it is smaller than the sum of its proper divisors (223759716307600).

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

123322134032240 is a wasteful number, since it uses less digits than its factorization.

123322134032240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949400 (or 949394 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 123322134032240 its reverse (42230431223321), we get a palindrome (165552565255561).

The spelling of 123322134032240 in words is "one hundred twenty-three trillion, three hundred twenty-two billion, one hundred thirty-four million, thirty-two thousand, two hundred forty".