123301321300 has 144 divisors (see below), whose sum is σ = 300225003120. Its totient is φ = 43724800000.

The previous prime is 123301321151. The next prime is 123301321331. The reversal of 123301321300 is 3123103321.

It can be written as a sum of positive squares in 24 ways, for example, as 83842677136 + 39458644164 = 289556^2 + 198642^2 .

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 47 ways as a sum of consecutive naturals, for example, 1990800 + ... + 2051800.

It is an arithmetic number, because the mean of its divisors is an integer number (2084895855).

Almost surely, 2^123301321300 is an apocalyptic number.

123301321300 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 123301321300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150112501560).

123301321300 is an abundant number, since it is smaller than the sum of its proper divisors (176923681820).

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

123301321300 is a wasteful number, since it uses less digits than its factorization.

123301321300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61102 (or 61095 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 123301321300 its reverse (3123103321), we get a palindrome (126424424621).

The spelling of 123301321300 in words is "one hundred twenty-three billion, three hundred one million, three hundred twenty-one thousand, three hundred".