117127920000 has 1280 divisors, whose sum is σ = 496784977920. Its totient is φ = 23777280000.

The previous prime is 117127919927. The next prime is 117127920023. The reversal of 117127920000 is 29721711.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 117127920000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 677039914 + ... + 677040086.

It is an arithmetic number, because the mean of its divisors is an integer number (388113264).

Almost surely, 2^117127920000 is an apocalyptic number.

117127920000 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 117127920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248392488960).

117127920000 is an abundant number, since it is smaller than the sum of its proper divisors (379657057920).

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

117127920000 is a wasteful number, since it uses less digits than its factorization.

117127920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 30.

The spelling of 117127920000 in words is "one hundred seventeen billion, one hundred twenty-seven million, nine hundred twenty thousand".