123012320012440 has 512 divisors, whose sum is σ = 309539045376000. Its totient is φ = 43863979622400.

The previous prime is 123012320012357. The next prime is 123012320012443. The reversal of 123012320012440 is 44210023210321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123012320012443) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11649991881 + ... + 11650002439.

It is an arithmetic number, because the mean of its divisors is an integer number (604568448000).

Almost surely, 2^{123012320012440} is an apocalyptic number.

123012320012440 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 123012320012440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154769522688000).

123012320012440 is an abundant number, since it is smaller than the sum of its proper divisors (186526725363560).

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

123012320012440 is a wasteful number, since it uses less digits than its factorization.

123012320012440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10851 (or 10847 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 123012320012440 its reverse (44210023210321), we get a palindrome (167222343222761).

The spelling of 123012320012440 in words is "one hundred twenty-three trillion, twelve billion, three hundred twenty million, twelve thousand, four hundred forty".