12834529989120 has 1120 divisors, whose sum is σ = 52892661938688. Its totient is φ = 2924520505344.

The previous prime is 12834529989089. The next prime is 12834529989137. The reversal of 12834529989120 is 2198992543821.

12834529989120 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 4 + 529 + 9 + 89 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4794369222 + ... + 4794371898.

Almost surely, 2^{12834529989120} is an apocalyptic number.

12834529989120 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 12834529989120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26446330969344).

12834529989120 is an abundant number, since it is smaller than the sum of its proper divisors (40058131949568).

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

12834529989120 is an frugal number, since it uses more digits than its factorization.

12834529989120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3092 (or 3061 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 12834529989120 in words is "twelve trillion, eight hundred thirty-four billion, five hundred twenty-nine million, nine hundred eighty-nine thousand, one hundred twenty".