116828112200 has 36 divisors (see below), whose sum is σ = 271636599915. Its totient is φ = 46729311360.

The previous prime is 116828112173. The next prime is 116828112217. The reversal of 116828112200 is 2211828611.

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 5 ways, for example, as 106859687236 + 9968424964 = 326894^2 + 99842^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=241690.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4821716 + ... + 4845884.

Almost surely, 2^116828112200 is an apocalyptic number.

116828112200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116828112200 is an abundant number, since it is smaller than the sum of its proper divisors (154808487715).

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

116828112200 is an frugal number, since it uses more digits than its factorization.

116828112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48354 (or 24176 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 32.

Multiplying 116828112200 by its sum of digits (32), we get a square (3738499590400 = 1933520²).

The spelling of 116828112200 in words is "one hundred sixteen billion, eight hundred twenty-eight million, one hundred twelve thousand, two hundred".