129033216 has 176 divisors, whose sum is σ = 412675200. Its totient is φ = 39591936.

The previous prime is 129033181. The next prime is 129033263. The reversal of 129033216 is 612330921.

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

It is a self number, because there is not a number n which added to its sum of digits gives 129033216.

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, 359245 + ... + 359603.

Almost surely, 2^129033216 is an apocalyptic number.

129033216 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 129033216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206337600).

129033216 is an abundant number, since it is smaller than the sum of its proper divisors (283641984).

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

129033216 is a wasteful number, since it uses less digits than its factorization.

129033216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 129033216 is about 11359.2788503496. The cubic root of 129033216 is about 505.3207986872.

The spelling of 129033216 in words is "one hundred twenty-nine million, thirty-three thousand, two hundred sixteen".