117801216 has 360 divisors, whose sum is σ = 415504320. Its totient is φ = 32845824.

The previous prime is 117801199. The next prime is 117801227. The reversal of 117801216 is 612108711.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 117801216.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5121781 + ... + 5121803.

Almost surely, 2^117801216 is an apocalyptic number.

117801216 is a gapful number since it is divisible by the number (16) 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 117801216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207752160).

117801216 is an abundant number, since it is smaller than the sum of its proper divisors (297703104).

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

117801216 is a wasteful number, since it uses less digits than its factorization.

117801216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

The square root of 117801216 is about 10853.6268592577. The cubic root of 117801216 is about 490.2112319877.

Adding to 117801216 its reverse (612108711), we get a palindrome (729909927).

It can be divided in two parts, 11780 and 1216, that added together give a square (12996 = 114²).

The spelling of 117801216 in words is "one hundred seventeen million, eight hundred one thousand, two hundred sixteen".