12310320311120 has 160 divisors (see below), whose sum is σ = 31660072771488. Its totient is φ = 4421961621504.

The previous prime is 12310320311039. The next prime is 12310320311123. The reversal of 12310320311120 is 2111302301321.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 185912742976 + 12124407568144 = 431176^2 + 3482012^2 .

It is a super-2 number, since 2×12310320311120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12310320311092 and 12310320311101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12310320311123) 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 31 ways as a sum of consecutive naturals, for example, 449317262 + ... + 449344658.

Almost surely, 2^{12310320311120} is an apocalyptic number.

12310320311120 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 12310320311120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15830036385744).

12310320311120 is an abundant number, since it is smaller than the sum of its proper divisors (19349752460368).

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

12310320311120 is a wasteful number, since it uses less digits than its factorization.

12310320311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39137 (or 39131 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 12310320311120 its reverse (2111302301321), we get a palindrome (14421622612441).

The spelling of 12310320311120 in words is "twelve trillion, three hundred ten billion, three hundred twenty million, three hundred eleven thousand, one hundred twenty".