12219984 has 120 divisors (see below), whose sum is σ = 40622400. Its totient is φ = 3483648.

The previous prime is 12219973. The next prime is 12219997. The reversal of 12219984 is 48991221.

12219984 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

12219984 is strictly pandigital in base 8.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26992 + ... + 27440.

It is an arithmetic number, because the mean of its divisors is an integer number (338520).

Almost surely, 2^12219984 is an apocalyptic number.

12219984 is a gapful number since it is divisible by the number (14) 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 12219984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20311200).

12219984 is an abundant number, since it is smaller than the sum of its proper divisors (28402416).

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

12219984 is an equidigital number, since it uses as much as digits as its factorization.

12219984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 461 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 12219984 is about 3495.7093700707. The cubic root of 12219984 is about 230.3333791758. Note that the first 4 decimals are identical.

It can be divided in two parts, 12219 and 984, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 12219984 in words is "twelve million, two hundred nineteen thousand, nine hundred eighty-four".