129596112 has 150 divisors (see below), whose sum is σ = 397298418. Its totient is φ = 40777344.

The previous prime is 129596111. The next prime is 129596113. The reversal of 129596112 is 211695921.

It is an interprime number because it is at equal distance from previous prime (129596111) and next prime (129596113).

It can be written as a sum of positive squares in only one way, i.e., 91699776 + 37896336 = 9576^2 + 6156^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129596111) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 467718 + ... + 467994.

Almost surely, 2^129596112 is an apocalyptic number.

129596112 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 129596112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198649209).

129596112 is an abundant number, since it is smaller than the sum of its proper divisors (267702306).

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

129596112 is a wasteful number, since it uses less digits than its factorization.

129596112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 301 counting only the distinct ones).

The product of its digits is 9720, while the sum is 36.

The square root of 129596112 is about 11384.0288123318. The cubic root of 129596112 is about 506.0545385345.

The spelling of 129596112 in words is "one hundred twenty-nine million, five hundred ninety-six thousand, one hundred twelve".