117312200225280 has 640 divisors, whose sum is σ = 421517849702400. Its totient is φ = 30923048927232.

The previous prime is 117312200225263. The next prime is 117312200225309. The reversal of 117312200225280 is 82522002213711.

117312200225280 is a `hidden beast` number, since 1 + 1 + 7 + 3 + 122 + 0 + 0 + 2 + 2 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3424256791 + ... + 3424291049.

It is an arithmetic number, because the mean of its divisors is an integer number (658621640160).

Almost surely, 2^{117312200225280} is an apocalyptic number.

117312200225280 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 117312200225280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210758924851200).

117312200225280 is an abundant number, since it is smaller than the sum of its proper divisors (304205649477120).

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

117312200225280 is a wasteful number, since it uses less digits than its factorization.

117312200225280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34861 (or 34839 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Adding to 117312200225280 its reverse (82522002213711), we get a palindrome (199834202438991).

The spelling of 117312200225280 in words is "one hundred seventeen trillion, three hundred twelve billion, two hundred million, two hundred twenty-five thousand, two hundred eighty".