123311021330200 has 288 divisors, whose sum is σ = 324078765912720. Its totient is φ = 43272714240000.

The previous prime is 123311021330191. The next prime is 123311021330219. The reversal of 123311021330200 is 2033120113321.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 3998266780 + ... + 3998297620.

Almost surely, 2^{123311021330200} is an apocalyptic number.

123311021330200 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 123311021330200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162039382956360).

123311021330200 is an abundant number, since it is smaller than the sum of its proper divisors (200767744582520).

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

123311021330200 is a wasteful number, since it uses less digits than its factorization.

123311021330200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33087 (or 33049 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 123311021330200 its reverse (2033120113321), we get a palindrome (125344141443521).

The spelling of 123311021330200 in words is "one hundred twenty-three trillion, three hundred eleven billion, twenty-one million, three hundred thirty thousand, two hundred".