12828828069120 has 1152 divisors, whose sum is σ = 50584575541248. Its totient is φ = 2706414796800.

The previous prime is 12828828069103. The next prime is 12828828069139. The reversal of 12828828069120 is 2196082882821.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8490289165 + ... + 8490290675.

It is an arithmetic number, because the mean of its divisors is an integer number (43910221824).

Almost surely, 2^{12828828069120} is an apocalyptic number.

12828828069120 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 12828828069120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25292287770624).

12828828069120 is an abundant number, since it is smaller than the sum of its proper divisors (37755747472128).

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

12828828069120 is a wasteful number, since it uses less digits than its factorization.

12828828069120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2039 (or 2025 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 57.

The spelling of 12828828069120 in words is "twelve trillion, eight hundred twenty-eight billion, eight hundred twenty-eight million, sixty-nine thousand, one hundred twenty".