129018120 has 128 divisors (see below), whose sum is σ = 482595840. Its totient is φ = 26807040.

The previous prime is 129018119. The next prime is 129018121. The reversal of 129018120 is 21810921.

It is an interprime number because it is at equal distance from previous prime (129018119) and next prime (129018121).

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

It is not an unprimeable number, because it can be changed into a prime (129018121) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2259 + ... + 16221.

It is an arithmetic number, because the mean of its divisors is an integer number (3770280).

Almost surely, 2^129018120 is an apocalyptic number.

129018120 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 129018120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241297920).

129018120 is an abundant number, since it is smaller than the sum of its proper divisors (353577720).

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

129018120 is a wasteful number, since it uses less digits than its factorization.

129018120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13995 (or 13991 counting only the distinct ones).

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

The square root of 129018120 is about 11358.6143521118. The cubic root of 129018120 is about 505.3010915644.

The spelling of 129018120 in words is "one hundred twenty-nine million, eighteen thousand, one hundred twenty".