129207312 has 100 divisors (see below), whose sum is σ = 402782380. Its totient is φ = 39750912.

The previous prime is 129207301. The next prime is 129207341. The reversal of 129207312 is 213702921.

It can be written as a sum of positive squares in 2 ways, for example, as 75272976 + 53934336 = 8676^2 + 7344^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13014 + ... + 20682.

Almost surely, 2^129207312 is an apocalyptic number.

129207312 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 129207312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201391190).

129207312 is an abundant number, since it is smaller than the sum of its proper divisors (273575068).

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

129207312 is a wasteful number, since it uses less digits than its factorization.

129207312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7702 (or 7687 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 129207312 is about 11366.9394297674. The cubic root of 129207312 is about 505.5479618837.

The spelling of 129207312 in words is "one hundred twenty-nine million, two hundred seven thousand, three hundred twelve".