12278016 has 81 divisors (see below), whose sum is σ = 35892129. Its totient is φ = 4036608.

The previous prime is 12278011. The next prime is 12278017. The reversal of 12278016 is 61087221.

The square root of 12278016 is 3504.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6969600 + 5308416 = 2640^2 + 2304^2 .

It is not an unprimeable number, because it can be changed into a prime (12278011) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 168156 + ... + 168228.

Almost surely, 2^12278016 is an apocalyptic number.

12278016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12278016 is the 3504-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12278016

12278016 is an abundant number, since it is smaller than the sum of its proper divisors (23614113).

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

12278016 is an frugal number, since it uses more digits than its factorization.

12278016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The cubic root of 12278016 is about 230.6974168338.

The spelling of 12278016 in words is "twelve million, two hundred seventy-eight thousand, sixteen".