123330222310320 has 240 divisors, whose sum is σ = 421852830048000. Its totient is φ = 32281371002880.

The previous prime is 123330222310279. The next prime is 123330222310417. The reversal of 123330222310320 is 23013222033321.

123330222310320 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 3 + 0 + 2 + 22 + 310 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×123330222310320² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18106506 + ... + 23968854.

It is an arithmetic number, because the mean of its divisors is an integer number (1757720125200).

Almost surely, 2^{123330222310320} is an apocalyptic number.

123330222310320 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 123330222310320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210926415024000).

123330222310320 is an abundant number, since it is smaller than the sum of its proper divisors (298522607737680).

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

123330222310320 is a wasteful number, since it uses less digits than its factorization.

123330222310320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5862908 (or 5862899 counting only the distinct ones).

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

Adding to 123330222310320 its reverse (23013222033321), we get a palindrome (146343444343641).

The spelling of 123330222310320 in words is "one hundred twenty-three trillion, three hundred thirty billion, two hundred twenty-two million, three hundred ten thousand, three hundred twenty".