12328493829120 has 2640 divisors, whose sum is σ = 55037779264512. Its totient is φ = 2621932830720.

The previous prime is 12328493829031. The next prime is 12328493829167. The reversal of 12328493829120 is 2192839482321.

12328493829120 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 8 + 493 + 8 + 29 + 120 = 666.

12328493829120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 43873643380 + ... + 43873643660.

Almost surely, 2^{12328493829120} is an apocalyptic number.

12328493829120 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 12328493829120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27518889632256).

12328493829120 is an abundant number, since it is smaller than the sum of its proper divisors (42709285435392).

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

12328493829120 is a wasteful number, since it uses less digits than its factorization.

12328493829120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 12328493829120 in words is "twelve trillion, three hundred twenty-eight billion, four hundred ninety-three million, eight hundred twenty-nine thousand, one hundred twenty".