129117120 has 112 divisors (see below), whose sum is σ = 447251328. Its totient is φ = 31298560.

The previous prime is 129117097. The next prime is 129117133. The reversal of 129117120 is 21711921.

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 4447 + ... + 16673.

Almost surely, 2^129117120 is an apocalyptic number.

129117120 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 129117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223625664).

129117120 is an abundant number, since it is smaller than the sum of its proper divisors (318134208).

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

129117120 is a wasteful number, since it uses less digits than its factorization.

129117120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12258 (or 12248 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 24.

The square root of 129117120 is about 11362.9714423649. The cubic root of 129117120 is about 505.4303034361.

The spelling of 129117120 in words is "one hundred twenty-nine million, one hundred seventeen thousand, one hundred twenty".