129374112 has 96 divisors (see below), whose sum is σ = 396144000. Its totient is φ = 36954624.

The previous prime is 129374101. The next prime is 129374117. The reversal of 129374112 is 211473921.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 129374112.

It is not an unprimeable number, because it can be changed into a prime (129374117) 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, 30964 + ... + 34892.

It is an arithmetic number, because the mean of its divisors is an integer number (4126500).

Almost surely, 2^129374112 is an apocalyptic number.

129374112 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 129374112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198072000).

129374112 is an abundant number, since it is smaller than the sum of its proper divisors (266769888).

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

129374112 is an equidigital number, since it uses as much as digits as its factorization.

129374112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3963 (or 3941 counting only the distinct ones).

The product of its digits is 3024, while the sum is 30.

The square root of 129374112 is about 11374.2741306863. The cubic root of 129374112 is about 505.7654138173.

The spelling of 129374112 in words is "one hundred twenty-nine million, three hundred seventy-four thousand, one hundred twelve".