12008952 has 64 divisors (see below), whose sum is σ = 34020000. Its totient is φ = 3923712.

The previous prime is 12008951. The next prime is 12008963. The reversal of 12008952 is 25980021.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12008951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10924 + ... + 11972.

Almost surely, 2^12008952 is an apocalyptic number.

12008952 is a gapful number since it is divisible by the number (12) 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 12008952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17010000).

12008952 is an abundant number, since it is smaller than the sum of its proper divisors (22011048).

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

12008952 is a wasteful number, since it uses less digits than its factorization.

12008952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 12008952 is about 3465.3934841515. The cubic root of 12008952 is about 228.9997648148. Note that the first 3 decimals are identical.

Adding to 12008952 its reverse (25980021), we get a palindrome (37988973).

The spelling of 12008952 in words is "twelve million, eight thousand, nine hundred fifty-two".