12812016 has 80 divisors (see below), whose sum is σ = 40068864. Its totient is φ = 3443712.

The previous prime is 12811993. The next prime is 12812057. The reversal of 12812016 is 61021821.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 12811983 and 12812001.

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, 4591 + ... + 6833.

Almost surely, 2^12812016 is an apocalyptic number.

12812016 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 12812016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20034432).

12812016 is an abundant number, since it is smaller than the sum of its proper divisors (27256848).

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

12812016 is a wasteful number, since it uses less digits than its factorization.

12812016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2278 (or 2272 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 12812016 is about 3579.3876571280. The cubic root of 12812016 is about 233.9945940748.

Adding to 12812016 its reverse (61021821), we get a palindrome (73833837).

The spelling of 12812016 in words is "twelve million, eight hundred twelve thousand, sixteen".