117820293120 has 680 divisors, whose sum is σ = 443053534176. Its totient is φ = 29896998912.

The previous prime is 117820293113. The next prime is 117820293163. The reversal of 117820293120 is 21392028711.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 39 ways as a sum of consecutive naturals, for example, 610467744 + ... + 610467936.

Almost surely, 2^117820293120 is an apocalyptic number.

117820293120 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 117820293120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221526767088).

117820293120 is an abundant number, since it is smaller than the sum of its proper divisors (325233241056).

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

117820293120 is an frugal number, since it uses more digits than its factorization.

117820293120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 117820293120 in words is "one hundred seventeen billion, eight hundred twenty million, two hundred ninety-three thousand, one hundred twenty".