12031331001120 has 576 divisors, whose sum is σ = 42110453889504. Its totient is φ = 3127187865600.

The previous prime is 12031331001103. The next prime is 12031331001121. The reversal of 12031331001120 is 2110013313021.

12031331001120 is a `hidden beast` number, since 1 + 20 + 313 + 310 + 0 + 1 + 1 + 20 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 6628997699856 + 5402333301264 = 2574684^2 + 2324292^2 .

It is a super-2 number, since 2×12031331001120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12031331001093 and 12031331001102.

It is not an unprimeable number, because it can be changed into a prime (12031331001121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10967484412 + ... + 10967485508.

Almost surely, 2^{12031331001120} is an apocalyptic number.

12031331001120 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 12031331001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21055226944752).

12031331001120 is an abundant number, since it is smaller than the sum of its proper divisors (30079122888384).

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

12031331001120 is a wasteful number, since it uses less digits than its factorization.

12031331001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2325 (or 2314 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12031331001120 its reverse (2110013313021), we get a palindrome (14141344314141).

The spelling of 12031331001120 in words is "twelve trillion, thirty-one billion, three hundred thirty-one million, one thousand, one hundred twenty".