117225216000 has 576 divisors, whose sum is σ = 428321144160. Its totient is φ = 30833049600.

The previous prime is 117225215951. The next prime is 117225216001. The reversal of 117225216000 is 612522711.

117225216000 is a `hidden beast` number, since 1 + 1 + 7 + 2 + 2 + 52 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117225216001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191231694 + ... + 191232306.

Almost surely, 2^117225216000 is an apocalyptic number.

117225216000 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 117225216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214160572080).

117225216000 is an abundant number, since it is smaller than the sum of its proper divisors (311095928160).

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

117225216000 is an equidigital number, since it uses as much as digits as its factorization.

117225216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 117225216000 its reverse (612522711), we get a palindrome (117837738711).

The spelling of 117225216000 in words is "one hundred seventeen billion, two hundred twenty-five million, two hundred sixteen thousand".