12129432 has 128 divisors (see below), whose sum is σ = 38154240. Its totient is φ = 3133440.

The previous prime is 12129419. The next prime is 12129473. The reversal of 12129432 is 23492121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88468 + ... + 88604.

It is an arithmetic number, because the mean of its divisors is an integer number (298080).

Almost surely, 2^12129432 is an apocalyptic number.

12129432 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 12129432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19077120).

12129432 is an abundant number, since it is smaller than the sum of its proper divisors (26024808).

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

12129432 is a wasteful number, since it uses less digits than its factorization.

12129432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 197 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 12129432 is about 3482.7334092635. The cubic root of 12129432 is about 229.7630325605.

It can be divided in two parts, 12129 and 432, that added together give a triangular number (12561 = T₁₅₈).

The spelling of 12129432 in words is "twelve million, one hundred twenty-nine thousand, four hundred thirty-two".