123133210200 has 1152 divisors, whose sum is σ = 570533483520. Its totient is φ = 22967193600.

The previous prime is 123133210183. The next prime is 123133210219. The reversal of 123133210200 is 2012331321.

123133210200 is a `hidden beast` number, since 1 + 231 + 332 + 102 + 0 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 66665677 + ... + 66667523.

It is an arithmetic number, because the mean of its divisors is an integer number (495254760).

Almost surely, 2^123133210200 is an apocalyptic number.

123133210200 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 123133210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285266741760).

123133210200 is an abundant number, since it is smaller than the sum of its proper divisors (447400273320).

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

123133210200 is a wasteful number, since it uses less digits than its factorization.

123133210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1937 (or 1925 counting only the distinct ones).

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

Adding to 123133210200 its reverse (2012331321), we get a palindrome (125145541521).

It can be divided in two parts, 123133 and 210200, that added together give a palindrome (333333).

The spelling of 123133210200 in words is "one hundred twenty-three billion, one hundred thirty-three million, two hundred ten thousand, two hundred".