129010128 has 160 divisors (see below), whose sum is σ = 382475520. Its totient is φ = 37171200.

The previous prime is 129010117. The next prime is 129010129. The reversal of 129010128 is 821010921.

It is a super-2 number, since 2×129010128² = 33287226253152768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 129010098 and 129010107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129010129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1277278 + ... + 1277378.

It is an arithmetic number, because the mean of its divisors is an integer number (2390472).

Almost surely, 2^129010128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129010128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191237760).

129010128 is an abundant number, since it is smaller than the sum of its proper divisors (253465392).

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

129010128 is a wasteful number, since it uses less digits than its factorization.

129010128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 129010128 is about 11358.2625431885. The cubic root of 129010128 is about 505.2906577595.

The spelling of 129010128 in words is "one hundred twenty-nine million, ten thousand, one hundred twenty-eight".