12100331320 has 256 divisors, whose sum is σ = 34743582720. Its totient is φ = 3683750400.

The previous prime is 12100331311. The next prime is 12100331351. The reversal of 12100331320 is 2313300121.

12100331320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12100331294 and 12100331303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39414607 + ... + 39414913.

It is an arithmetic number, because the mean of its divisors is an integer number (135717120).

Almost surely, 2^12100331320 is an apocalyptic number.

12100331320 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 12100331320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17371791360).

12100331320 is an abundant number, since it is smaller than the sum of its proper divisors (22643251400).

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

12100331320 is a wasteful number, since it uses less digits than its factorization.

12100331320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 12100331320 its reverse (2313300121), we get a palindrome (14413631441).

The spelling of 12100331320 in words is "twelve billion, one hundred million, three hundred thirty-one thousand, three hundred twenty".