129396312 has 64 divisors (see below), whose sum is σ = 364032000. Its totient is φ = 42580512.

The previous prime is 129396307. The next prime is 129396329. The reversal of 129396312 is 213693921.

It is a happy number.

129396312 is a `hidden beast` number, since 12 + 9 + 3 + 9 + 631 + 2 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13273 + ... + 20855.

It is an arithmetic number, because the mean of its divisors is an integer number (5688000).

Almost surely, 2^129396312 is an apocalyptic number.

129396312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

129396312 is the 5688-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129396312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182016000).

129396312 is an abundant number, since it is smaller than the sum of its proper divisors (234635688).

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

129396312 is a wasteful number, since it uses less digits than its factorization.

129396312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7677 (or 7667 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 129396312 is about 11375.2499752753. The cubic root of 129396312 is about 505.7943411656.

The spelling of 129396312 in words is "one hundred twenty-nine million, three hundred ninety-six thousand, three hundred twelve".