12010310331120 has 320 divisors, whose sum is σ = 43744880148480. Its totient is φ = 3023838259200.

The previous prime is 12010310331109. The next prime is 12010310331133. The reversal of 12010310331120 is 2113301301021.

12010310331120 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 0 + 310 + 331 + 1 + 20 = 666.

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 = 12010310331093 and 12010310331102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 557977 + ... + 4932743.

It is an arithmetic number, because the mean of its divisors is an integer number (136702750464).

Almost surely, 2^{12010310331120} is an apocalyptic number.

12010310331120 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 12010310331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21872440074240).

12010310331120 is an abundant number, since it is smaller than the sum of its proper divisors (31734569817360).

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

12010310331120 is a wasteful number, since it uses less digits than its factorization.

12010310331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4374861 (or 4374849 counting only the distinct ones).

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

Adding to 12010310331120 its reverse (2113301301021), we get a palindrome (14123611632141).

The spelling of 12010310331120 in words is "twelve trillion, ten billion, three hundred ten million, three hundred thirty-one thousand, one hundred twenty".