116801200 has 60 divisors (see below), whose sum is σ = 283341240. Its totient is φ = 46266880.

The previous prime is 116801171. The next prime is 116801219. The reversal of 116801200 is 2108611.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41436 + ... + 44164.

It is an arithmetic number, because the mean of its divisors is an integer number (4722354).

Almost surely, 2^116801200 is an apocalyptic number.

116801200 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 116801200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141670620).

116801200 is an abundant number, since it is smaller than the sum of its proper divisors (166540040).

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

116801200 is a wasteful number, since it uses less digits than its factorization.

116801200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2854 (or 2843 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

The square root of 116801200 is about 10807.4603862332. The cubic root of 116801200 is about 488.8201517992.

Adding to 116801200 its reverse (2108611), we get a palindrome (118909811).

It can be divided in two parts, 11680 and 1200, that added together give a triangular number (12880 = T₁₆₀).

The spelling of 116801200 in words is "one hundred sixteen million, eight hundred one thousand, two hundred".