12320103120 has 640 divisors, whose sum is σ = 45882063360. Its totient is φ = 2707292160.

The previous prime is 12320103073. The next prime is 12320103127. The reversal of 12320103120 is 2130102321.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12320103120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12320103127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 89927692 + ... + 89927828.

It is an arithmetic number, because the mean of its divisors is an integer number (71690724).

Almost surely, 2^12320103120 is an apocalyptic number.

12320103120 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 12320103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22941031680).

12320103120 is an abundant number, since it is smaller than the sum of its proper divisors (33561960240).

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

12320103120 is a wasteful number, since it uses less digits than its factorization.

12320103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12320103120 its reverse (2130102321), we get a palindrome (14450205441).

It can be divided in two parts, 12320 and 103120, that added together give a triangular number (115440 = T₄₈₀).

The spelling of 12320103120 in words is "twelve billion, three hundred twenty million, one hundred three thousand, one hundred twenty".