117228902400 has 720 divisors, whose sum is σ = 453437384400. Its totient is φ = 29877534720.

The previous prime is 117228902387. The next prime is 117228902411. The reversal of 117228902400 is 4209822711.

117228902400 is a `hidden beast` number, since 1 + 172 + 2 + 89 + 0 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 95384986 + ... + 95386214.

It is an arithmetic number, because the mean of its divisors is an integer number (629774145).

Almost surely, 2^117228902400 is an apocalyptic number.

117228902400 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 117228902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226718692200).

117228902400 is an abundant number, since it is smaller than the sum of its proper divisors (336208482000).

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

117228902400 is a wasteful number, since it uses less digits than its factorization.

117228902400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 117228902400 in words is "one hundred seventeen billion, two hundred twenty-eight million, nine hundred two thousand, four hundred".