123030221113200 has 240 divisors, whose sum is σ = 411344989735680. Its totient is φ = 31373753917440.

The previous prime is 123030221113181. The next prime is 123030221113201. The reversal of 123030221113200 is 2311122030321.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123030221113201) 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, 109926016 + ... + 111039584.

It is an arithmetic number, because the mean of its divisors is an integer number (1713937457232).

Almost surely, 2^{123030221113200} is an apocalyptic number.

123030221113200 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 123030221113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205672494867840).

123030221113200 is an abundant number, since it is smaller than the sum of its proper divisors (288314768622480).

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

123030221113200 is a wasteful number, since it uses less digits than its factorization.

123030221113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117616 (or 1117605 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 123030221113200 its reverse (2311122030321), we get a palindrome (125341343143521).

The spelling of 123030221113200 in words is "one hundred twenty-three trillion, thirty billion, two hundred twenty-one million, one hundred thirteen thousand, two hundred".