1282986012 has 192 divisors, whose sum is σ = 3902976000. Its totient is φ = 324999360.

The previous prime is 1282986007. The next prime is 1282986031. The reversal of 1282986012 is 2106892821.

It is a super-3 number, since 3×1282986012³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1946539 + ... + 1947197.

It is an arithmetic number, because the mean of its divisors is an integer number (20328000).

Almost surely, 2^1282986012 is an apocalyptic number.

1282986012 is a gapful number since it is divisible by the number (12) 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 1282986012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1951488000).

1282986012 is an abundant number, since it is smaller than the sum of its proper divisors (2619989988).

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

1282986012 is a wasteful number, since it uses less digits than its factorization.

1282986012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 1282986012 is about 35818.7941170554. The cubic root of 1282986012 is about 1086.6106913259.

The spelling of 1282986012 in words is "one billion, two hundred eighty-two million, nine hundred eighty-six thousand, twelve".