117072208603200 has 336 divisors, whose sum is σ = 397078723321280. Its totient is φ = 30178858106880.

The previous prime is 117072208603187. The next prime is 117072208603213. The reversal of 117072208603200 is 2306802270711.

It is an interprime number because it is at equal distance from previous prime (117072208603187) and next prime (117072208603213).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17097036 + ... + 22944564.

Almost surely, 2^{117072208603200} is an apocalyptic number.

117072208603200 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 117072208603200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198539361660640).

117072208603200 is an abundant number, since it is smaller than the sum of its proper divisors (280006514718080).

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

117072208603200 is a wasteful number, since it uses less digits than its factorization.

117072208603200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5847694 (or 5847679 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The spelling of 117072208603200 in words is "one hundred seventeen trillion, seventy-two billion, two hundred eight million, six hundred three thousand, two hundred".