12330831827160 has 1024 divisors, whose sum is σ = 53637363302400. Its totient is φ = 2443318732800.

The previous prime is 12330831827117. The next prime is 12330831827177. The reversal of 12330831827160 is 6172813803321.

12330831827160 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 0 + 8 + 318 + 271 + 60 = 666.

It is a super-2 number, since 2×12330831827160² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 633087342 + ... + 633106818.

It is an arithmetic number, because the mean of its divisors is an integer number (52380237600).

Almost surely, 2^{12330831827160} is an apocalyptic number.

12330831827160 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 12330831827160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26818681651200).

12330831827160 is an abundant number, since it is smaller than the sum of its proper divisors (41306531475240).

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

12330831827160 is a wasteful number, since it uses less digits than its factorization.

12330831827160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19869 (or 19859 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 12330831827160 in words is "twelve trillion, three hundred thirty billion, eight hundred thirty-one million, eight hundred twenty-seven thousand, one hundred sixty".