12300322120 has 128 divisors (see below), whose sum is σ = 29800742400. Its totient is φ = 4552704000.

The previous prime is 12300322093. The next prime is 12300322141. The reversal of 12300322120 is 2122300321.

It is a super-2 number, since 2×12300322120² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12300322094 and 12300322103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21541435 + ... + 21542005.

It is an arithmetic number, because the mean of its divisors is an integer number (232818300).

Almost surely, 2^12300322120 is an apocalyptic number.

12300322120 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 12300322120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14900371200).

12300322120 is an abundant number, since it is smaller than the sum of its proper divisors (17500420280).

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

12300322120 is a wasteful number, since it uses less digits than its factorization.

12300322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 12300322120 its reverse (2122300321), we get a palindrome (14422622441).

The spelling of 12300322120 in words is "twelve billion, three hundred million, three hundred twenty-two thousand, one hundred twenty".