1282129920000 has 1080 divisors, whose sum is σ = 4854645091296. Its totient is φ = 325582848000.

The previous prime is 1282129919923. The next prime is 1282129920007. The reversal of 1282129920000 is 299212821.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1282129920007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 27279359977 + ... + 27279360023.

Almost surely, 2^{1282129920000} is an apocalyptic number.

1282129920000 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 1282129920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2427322545648).

1282129920000 is an abundant number, since it is smaller than the sum of its proper divisors (3572515171296).

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

1282129920000 is an frugal number, since it uses more digits than its factorization.

1282129920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 1282129920000 in words is "one trillion, two hundred eighty-two billion, one hundred twenty-nine million, nine hundred twenty thousand".