12286416 has 80 divisors (see below), whose sum is σ = 34283520. Its totient is φ = 3780480.

The previous prime is 12286409. The next prime is 12286423. The reversal of 12286416 is 61468221.

It is an interprime number because it is at equal distance from previous prime (12286409) and next prime (12286423).

It is a nude number because it is divisible by every one of its digits.

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, 34045 + ... + 34403.

It is an arithmetic number, because the mean of its divisors is an integer number (428544).

Almost surely, 2^12286416 is an apocalyptic number.

12286416 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 12286416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17141760).

12286416 is an abundant number, since it is smaller than the sum of its proper divisors (21997104).

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

12286416 is a wasteful number, since it uses less digits than its factorization.

12286416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 418 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 12286416 is about 3505.1984251965. The cubic root of 12286416 is about 230.7500153573.

The spelling of 12286416 in words is "twelve million, two hundred eighty-six thousand, four hundred sixteen".