129021984 has 240 divisors, whose sum is σ = 467869248. Its totient is φ = 33965568.

The previous prime is 129021979. The next prime is 129022009. The reversal of 129021984 is 489120921.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 235599 + ... + 236145.

Almost surely, 2^129021984 is an apocalyptic number.

129021984 is a gapful number since it is divisible by the number (14) 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 129021984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233934624).

129021984 is an abundant number, since it is smaller than the sum of its proper divisors (338847264).

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

129021984 is a wasteful number, since it uses less digits than its factorization.

129021984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 129021984 is about 11358.7844420079. The cubic root of 129021984 is about 505.3061359823.

The spelling of 129021984 in words is "one hundred twenty-nine million, twenty-one thousand, nine hundred eighty-four".