123320223133200 has 480 divisors, whose sum is σ = 450864631566720. Its totient is φ = 31991413708800.

The previous prime is 123320223133199. The next prime is 123320223133213. The reversal of 123320223133200 is 2331322023321.

123320223133200 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 2 + 0 + 22 + 313 + 320 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2881494202 + ... + 2881536998.

It is an arithmetic number, because the mean of its divisors is an integer number (939301315764).

Almost surely, 2^{123320223133200} is an apocalyptic number.

123320223133200 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 123320223133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225432315783360).

123320223133200 is an abundant number, since it is smaller than the sum of its proper divisors (327544408433520).

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

123320223133200 is a wasteful number, since it uses less digits than its factorization.

123320223133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50072 (or 50055 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 123320223133200 its reverse (2331322023321), we get a palindrome (125651545156521).

The spelling of 123320223133200 in words is "one hundred twenty-three trillion, three hundred twenty billion, two hundred twenty-three million, one hundred thirty-three thousand, two hundred".