117429120 has 384 divisors, whose sum is σ = 453492000. Its totient is φ = 27869184.

The previous prime is 117429107. The next prime is 117429121. The reversal of 117429120 is 21924711.

117429120 is a `hidden beast` number, since 117 + 429 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117429121) 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, 3173742 + ... + 3173778.

Almost surely, 2^117429120 is an apocalyptic number.

117429120 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 117429120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226746000).

117429120 is an abundant number, since it is smaller than the sum of its proper divisors (336062880).

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

117429120 is a wasteful number, since it uses less digits than its factorization.

117429120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 117429120 is about 10836.4717505284. The cubic root of 117429120 is about 489.6945479329.

The spelling of 117429120 in words is "one hundred seventeen million, four hundred twenty-nine thousand, one hundred twenty".