1284812016 has 80 divisors (see below), whose sum is σ = 3469968384. Its totient is φ = 408874752.

The previous prime is 1284812003. The next prime is 1284812021. The reversal of 1284812016 is 6102184821.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 967545 + ... + 968871.

Almost surely, 2^1284812016 is an apocalyptic number.

1284812016 is a gapful number since it is divisible by the number (16) 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 1284812016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1734984192).

1284812016 is an abundant number, since it is smaller than the sum of its proper divisors (2185156368).

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

1284812016 is a wasteful number, since it uses less digits than its factorization.

1284812016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2238 (or 2232 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 1284812016 is about 35844.2745218815. The cubic root of 1284812016 is about 1087.1259515289.

Adding to 1284812016 its reverse (6102184821), we get a palindrome (7386996837).

The spelling of 1284812016 in words is "one billion, two hundred eighty-four million, eight hundred twelve thousand, sixteen".