12019968 has 144 divisors (see below), whose sum is σ = 37282560. Its totient is φ = 3815424.

The previous prime is 12019957. The next prime is 12019993. The reversal of 12019968 is 86991021.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a zygodrome in base 8.

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, 255721 + ... + 255767.

Almost surely, 2^12019968 is an apocalyptic number.

12019968 is a gapful number since it is divisible by the number (18) 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 12019968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18641280).

12019968 is an abundant number, since it is smaller than the sum of its proper divisors (25262592).

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

12019968 is an equidigital number, since it uses as much as digits as its factorization.

12019968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 12019968 is about 3466.9825497109. The cubic root of 12019968 is about 229.0697651069.

The spelling of 12019968 in words is "twelve million, nineteen thousand, nine hundred sixty-eight".