123303540000 has 240 divisors, whose sum is σ = 425751590880. Its totient is φ = 31150080000.

The previous prime is 123303539993. The next prime is 123303540023. The reversal of 123303540000 is 45303321.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×123303540000³ (a number of 34 digits) contains 333 as substring.

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 39 ways as a sum of consecutive naturals, for example, 1085920 + ... + 1194080.

It is an arithmetic number, because the mean of its divisors is an integer number (1773964962).

Almost surely, 2^123303540000 is an apocalyptic number.

123303540000 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 123303540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212875795440).

123303540000 is an abundant number, since it is smaller than the sum of its proper divisors (302448050880).

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

123303540000 is a wasteful number, since it uses less digits than its factorization.

123303540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108213 (or 108190 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

Adding to 123303540000 its reverse (45303321), we get a palindrome (123348843321).

The spelling of 123303540000 in words is "one hundred twenty-three billion, three hundred three million, five hundred forty thousand".