129411216 has 160 divisors (see below), whose sum is σ = 410509440. Its totient is φ = 38707200.

The previous prime is 129411187. The next prime is 129411263. The reversal of 129411216 is 612114921.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 129411216.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 536856 + ... + 537096.

It is an arithmetic number, because the mean of its divisors is an integer number (2565684).

Almost surely, 2^129411216 is an apocalyptic number.

129411216 is a gapful number since it is divisible by the number (16) 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 129411216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205254720).

129411216 is an abundant number, since it is smaller than the sum of its proper divisors (281098224).

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

129411216 is a wasteful number, since it uses less digits than its factorization.

129411216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 370 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 129411216 is about 11375.9050628950. The cubic root of 129411216 is about 505.8137597238.

The spelling of 129411216 in words is "one hundred twenty-nine million, four hundred eleven thousand, two hundred sixteen".