1282680000 has 420 divisors, whose sum is σ = 5260878480. Its totient is φ = 292608000.

The previous prime is 1282679969. The next prime is 1282680011. The reversal of 1282680000 is 862821.

It is a tau number, because it is divible by the number of its divisors (420).

It is an unprimeable number.

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, 2519746 + ... + 2520254.

Almost surely, 2^1282680000 is an apocalyptic number.

1282680000 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 1282680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2630439240).

1282680000 is an abundant number, since it is smaller than the sum of its proper divisors (3978198480).

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

1282680000 is an equidigital number, since it uses as much as digits as its factorization.

1282680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1282680000 is about 35814.5221942161. The cubic root of 1282680000 is about 1086.5242933065.

The spelling of 1282680000 in words is "one billion, two hundred eighty-two million, six hundred eighty thousand".