129193020 has 144 divisors (see below), whose sum is σ = 434004480. Its totient is φ = 30844800.

The previous prime is 129193019. The next prime is 129193021. The reversal of 129193020 is 20391921.

It is an interprime number because it is at equal distance from previous prime (129193019) and next prime (129193021).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129193021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140121 + ... + 141039.

It is an arithmetic number, because the mean of its divisors is an integer number (3013920).

Almost surely, 2^129193020 is an apocalyptic number.

129193020 is a gapful number since it is divisible by the number (10) 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 129193020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217002240).

129193020 is an abundant number, since it is smaller than the sum of its proper divisors (304811460).

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

129193020 is a wasteful number, since it uses less digits than its factorization.

129193020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 129193020 is about 11366.3107471158. The cubic root of 129193020 is about 505.5293211485.

The spelling of 129193020 in words is "one hundred twenty-nine million, one hundred ninety-three thousand, twenty".