129312432 has 60 divisors (see below), whose sum is σ = 363122344. Its totient is φ = 42958080.

The previous prime is 129312427. The next prime is 129312433. The reversal of 129312432 is 234213921.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 129312396 and 129312405.

It is not an unprimeable number, because it can be changed into a prime (129312433) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46308 + ... + 49020.

Almost surely, 2^129312432 is an apocalyptic number.

129312432 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 129312432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181561172).

129312432 is an abundant number, since it is smaller than the sum of its proper divisors (233809912).

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

129312432 is a wasteful number, since it uses less digits than its factorization.

129312432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3058 (or 3049 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 129312432 is about 11371.5624256300. The cubic root of 129312432 is about 505.6850253245.

The spelling of 129312432 in words is "one hundred twenty-nine million, three hundred twelve thousand, four hundred thirty-two".