123321310200 has 288 divisors, whose sum is σ = 454847562000. Its totient is φ = 29694720000.

The previous prime is 123321310199. The next prime is 123321310219. The reversal of 123321310200 is 2013123321.

123321310200 is a `hidden beast` number, since 1 + 2 + 332 + 1 + 310 + 20 + 0 = 666.

123321310200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2929300 + ... + 2971100.

Almost surely, 2^123321310200 is an apocalyptic number.

123321310200 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 123321310200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227423781000).

123321310200 is an abundant number, since it is smaller than the sum of its proper divisors (331526251800).

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

123321310200 is a wasteful number, since it uses less digits than its factorization.

123321310200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41983 (or 41971 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 123321310200 its reverse (2013123321), we get a palindrome (125334433521).

The spelling of 123321310200 in words is "one hundred twenty-three billion, three hundred twenty-one million, three hundred ten thousand, two hundred".