123114320352 has 144 divisors (see below), whose sum is σ = 355474435680. Its totient is φ = 40410316800.

The previous prime is 123114320327. The next prime is 123114320477. The reversal of 123114320352 is 253023411321.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18992952 + ... + 18999432.

It is an arithmetic number, because the mean of its divisors is an integer number (2468572470).

Almost surely, 2^123114320352 is an apocalyptic number.

123114320352 is a gapful number since it is divisible by the number (12) 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 123114320352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177737217840).

123114320352 is an abundant number, since it is smaller than the sum of its proper divisors (232360115328).

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

123114320352 is a wasteful number, since it uses less digits than its factorization.

123114320352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7497 (or 7486 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 123114320352 its reverse (253023411321), we get a palindrome (376137731673).

The spelling of 123114320352 in words is "one hundred twenty-three billion, one hundred fourteen million, three hundred twenty thousand, three hundred fifty-two".