12005032 has 32 divisors (see below), whose sum is σ = 24532200. Its totient is φ = 5474304.

The previous prime is 12005023. The next prime is 12005047. The reversal of 12005032 is 23050021.

It can be written as a sum of positive squares in 4 ways, for example, as 10278436 + 1726596 = 3206^2 + 1314^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8608 + ... + 9904.

Almost surely, 2^12005032 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 12005032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12266100).

12005032 is an abundant number, since it is smaller than the sum of its proper divisors (12527168).

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

12005032 is a wasteful number, since it uses less digits than its factorization.

12005032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 12005032 is about 3464.8278456512. The cubic root of 12005032 is about 228.9748451613.

Adding to 12005032 its reverse (23050021), we get a palindrome (35055053).

It can be divided in two parts, 120050 and 32, that multiplied together give a square (3841600 = 1960²).

The spelling of 12005032 in words is "twelve million, five thousand, thirty-two".