12031120032320 has 112 divisors (see below), whose sum is σ = 29040336788400. Its totient is φ = 4747083571200.

The previous prime is 12031120032317. The next prime is 12031120032329. The reversal of 12031120032320 is 2323002113021.

It can be written as a sum of positive squares in 8 ways, for example, as 59021787136 + 11972098245184 = 242944^2 + 3460072^2 .

It is a super-3 number, since 3×12031120032320³ (a number of 40 digits) contains 333 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 = 12031120032292 and 12031120032301.

It is not an unprimeable number, because it can be changed into a prime (12031120032329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8002166 + ... + 9385994.

It is an arithmetic number, because the mean of its divisors is an integer number (259288721325).

Almost surely, 2^{12031120032320} is an apocalyptic number.

12031120032320 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 12031120032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14520168394200).

12031120032320 is an abundant number, since it is smaller than the sum of its proper divisors (17009216756080).

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

12031120032320 is a wasteful number, since it uses less digits than its factorization.

12031120032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384216 (or 1384206 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 12031120032320 its reverse (2323002113021), we get a palindrome (14354122145341).

The spelling of 12031120032320 in words is "twelve trillion, thirty-one billion, one hundred twenty million, thirty-two thousand, three hundred twenty".