117224305228800 has 5280 divisors, whose sum is σ = 603433061383680. Its totient is φ = 21709298073600.

The previous prime is 117224305228699. The next prime is 117224305228829. The reversal of 117224305228800 is 8822503422711.

117224305228800 is a `hidden beast` number, since 1 + 1 + 7 + 2 + 2 + 43 + 0 + 522 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5280).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 51572504464 + ... + 51572506736.

It is an arithmetic number, because the mean of its divisors is an integer number (114286564656).

Almost surely, 2^{117224305228800} is an apocalyptic number.

117224305228800 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 117224305228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301716530691840).

117224305228800 is an abundant number, since it is smaller than the sum of its proper divisors (486208756154880).

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

117224305228800 is a wasteful number, since it uses less digits than its factorization.

117224305228800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2369 (or 2337 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 117224305228800 in words is "one hundred seventeen trillion, two hundred twenty-four billion, three hundred five million, two hundred twenty-eight thousand, eight hundred".