123034144000 has 144 divisors (see below), whose sum is σ = 307654336080. Its totient is φ = 49027276800.

The previous prime is 123034143977. The next prime is 123034144001. The reversal of 123034144000 is 441430321.

It can be written as a sum of positive squares in 8 ways, for example, as 109418054656 + 13616089344 = 330784^2 + 116688^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123034144001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8600854 + ... + 8615146.

It is an arithmetic number, because the mean of its divisors is an integer number (2136488445).

Almost surely, 2^123034144000 is an apocalyptic number.

123034144000 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 123034144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153827168040).

123034144000 is an abundant number, since it is smaller than the sum of its proper divisors (184620192080).

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

123034144000 is an equidigital number, since it uses as much as digits as its factorization.

123034144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14593 (or 14569 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 123034144000 its reverse (441430321), we get a palindrome (123475574321).

The spelling of 123034144000 in words is "one hundred twenty-three billion, thirty-four million, one hundred forty-four thousand".