129420416 has 32 divisors (see below), whose sum is σ = 261695280. Its totient is φ = 63740160.

The previous prime is 129420409. The next prime is 129420449. The reversal of 129420416 is 614024921.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×129420416² = 33499288155226112, which contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 1031 + ... + 16121.

Almost surely, 2^129420416 is an apocalyptic number.

129420416 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 129420416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130847640).

129420416 is an abundant number, since it is smaller than the sum of its proper divisors (132274864).

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

129420416 is an equidigital number, since it uses as much as digits as its factorization.

129420416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15172 (or 15160 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 129420416 is about 11376.3094191394. The cubic root of 129420416 is about 505.8257457440.

The spelling of 129420416 in words is "one hundred twenty-nine million, four hundred twenty thousand, four hundred sixteen".