123033004105200 has 1440 divisors, whose sum is σ = 502048295424000. Its totient is φ = 25575787560960.

The previous prime is 123033004105189. The next prime is 123033004105229. The reversal of 123033004105200 is 2501400330321.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 3711498226 + ... + 3711531374.

It is an arithmetic number, because the mean of its divisors is an integer number (348644649600).

Almost surely, 2^{123033004105200} is an apocalyptic number.

123033004105200 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 123033004105200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251024147712000).

123033004105200 is an abundant number, since it is smaller than the sum of its proper divisors (379015291318800).

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

123033004105200 is a wasteful number, since it uses less digits than its factorization.

123033004105200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33327 (or 33309 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 123033004105200 its reverse (2501400330321), we get a palindrome (125534404435521).

The spelling of 123033004105200 in words is "one hundred twenty-three trillion, thirty-three billion, four million, one hundred five thousand, two hundred".