12003264 has 168 divisors, whose sum is σ = 42529760. Its totient is φ = 3151872.

The previous prime is 12003247. The next prime is 12003287. The reversal of 12003264 is 46230021.

It is a happy number.

12003264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

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

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, 52302 + ... + 52530.

Almost surely, 2^12003264 is an apocalyptic number.

12003264 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 12003264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21264880).

12003264 is an abundant number, since it is smaller than the sum of its proper divisors (30526496).

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

12003264 is a wasteful number, since it uses less digits than its factorization.

12003264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 12003264 is about 3464.5727009258. The cubic root of 12003264 is about 228.9636041139.

Adding to 12003264 its reverse (46230021), we get a palindrome (58233285).

The spelling of 12003264 in words is "twelve million, three thousand, two hundred sixty-four".