12129024 has 72 divisors (see below), whose sum is σ = 34216560. Its totient is φ = 3801088.

The previous prime is 12129017. The next prime is 12129031. The reversal of 12129024 is 42092121.

It is an interprime number because it is at equal distance from previous prime (12129017) and next prime (12129031).

It is a super-2 number, since 2×12129024² = 294226446385152, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12592 + ... + 13520.

It is an arithmetic number, because the mean of its divisors is an integer number (475230).

Almost surely, 2^12129024 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 12129024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17108280).

12129024 is an abundant number, since it is smaller than the sum of its proper divisors (22087536).

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

12129024 is an equidigital number, since it uses as much as digits as its factorization.

12129024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 12129024 is about 3482.6748340895. The cubic root of 12129024 is about 229.7604563374.

The spelling of 12129024 in words is "twelve million, one hundred twenty-nine thousand, twenty-four".