117224820000 has 450 divisors, whose sum is σ = 432413234253. Its totient is φ = 31143744000.

The previous prime is 117224819951. The next prime is 117224820019. The reversal of 117224820000 is 28422711.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 61470276624 + 55754543376 = 247932^2 + 236124^2 .

It is a tau number, because it is divible by the number of its divisors (450).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=242100.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 435779866 + ... + 435780134.

Almost surely, 2^117224820000 is an apocalyptic number.

117224820000 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 117224820000

117224820000 is an abundant number, since it is smaller than the sum of its proper divisors (315188414253).

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

117224820000 is an frugal number, since it uses more digits than its factorization.

117224820000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 117224820000 in words is "one hundred seventeen billion, two hundred twenty-four million, eight hundred twenty thousand".