112500208200 has 144 divisors (see below), whose sum is σ = 364574009520. Its totient is φ = 28695624320.

The previous prime is 112500208189. The next prime is 112500208201. The reversal of 112500208200 is 2802005211.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (112500208201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 140179 + ... + 494621.

It is an arithmetic number, because the mean of its divisors is an integer number (2531763955).

Almost surely, 2^112500208200 is an apocalyptic number.

112500208200 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 112500208200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182287004760).

112500208200 is an abundant number, since it is smaller than the sum of its proper divisors (252073801320).

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

112500208200 is a wasteful number, since it uses less digits than its factorization.

112500208200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354508 (or 354476 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The spelling of 112500208200 in words is "one hundred twelve billion, five hundred million, two hundred eight thousand, two hundred".