12077984 has 36 divisors (see below), whose sum is σ = 24665382. Its totient is φ = 5817600.

The previous prime is 12077983. The next prime is 12077993. The reversal of 12077984 is 48977021.

It can be written as a sum of positive squares in 3 ways, for example, as 10061584 + 2016400 = 3172^2 + 1420^2 .

It is not an unprimeable number, because it can be changed into a prime (12077981) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 119534 + ... + 119634.

Almost surely, 2^12077984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12077984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12332691).

12077984 is an abundant number, since it is smaller than the sum of its proper divisors (12587398).

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

12077984 is an equidigital number, since it uses as much as digits as its factorization.

12077984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 38.

The square root of 12077984 is about 3475.3394078852. The cubic root of 12077984 is about 229.4377191401.

The spelling of 12077984 in words is "twelve million, seventy-seven thousand, nine hundred eighty-four".