123331133033200 has 240 divisors, whose sum is σ = 311615858880000. Its totient is φ = 46841910635520.

The previous prime is 123331133033179. The next prime is 123331133033201. The reversal of 123331133033200 is 2330331133321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123331133033201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 465410341 + ... + 465675259.

It is an arithmetic number, because the mean of its divisors is an integer number (1298399412000).

Almost surely, 2^{123331133033200} is an apocalyptic number.

123331133033200 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 123331133033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155807929440000).

123331133033200 is an abundant number, since it is smaller than the sum of its proper divisors (188284725846800).

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

123331133033200 is a wasteful number, since it uses less digits than its factorization.

123331133033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265632 (or 265621 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 28.

Adding to 123331133033200 its reverse (2330331133321), we get a palindrome (125661464166521).

The spelling of 123331133033200 in words is "one hundred twenty-three trillion, three hundred thirty-one billion, one hundred thirty-three million, thirty-three thousand, two hundred".