12001248 has 72 divisors (see below), whose sum is σ = 39010608. Its totient is φ = 3428352.

The previous prime is 12001211. The next prime is 12001261. The reversal of 12001248 is 84210021.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 12001248.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 961 + ... + 4992.

It is an arithmetic number, because the mean of its divisors is an integer number (541814).

Almost surely, 2^12001248 is an apocalyptic number.

12001248 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 12001248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19505304).

12001248 is an abundant number, since it is smaller than the sum of its proper divisors (27009360).

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

12001248 is a wasteful number, since it uses less digits than its factorization.

12001248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5976 (or 5965 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 12001248 is about 3464.2817437385. The cubic root of 12001248 is about 228.9507849210.

Adding to 12001248 its reverse (84210021), we get a palindrome (96211269).

The spelling of 12001248 in words is "twelve million, one thousand, two hundred forty-eight".