12029472 has 288 divisors, whose sum is σ = 46230912. Its totient is φ = 2985984.

The previous prime is 12029471. The next prime is 12029491. The reversal of 12029472 is 27492021.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (12029471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 707608 + ... + 707624.

It is an arithmetic number, because the mean of its divisors is an integer number (160524).

Almost surely, 2^12029472 is an apocalyptic number.

12029472 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 12029472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23115456).

12029472 is an abundant number, since it is smaller than the sum of its proper divisors (34201440).

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

12029472 is a wasteful number, since it uses less digits than its factorization.

12029472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 12029472 is about 3468.3529232187. The cubic root of 12029472 is about 229.1301231574.

It can be divided in two parts, 120 and 29472, that added together give a palindrome (29592).

The spelling of 12029472 in words is "twelve million, twenty-nine thousand, four hundred seventy-two".