112870200 has 96 divisors (see below), whose sum is σ = 365155200. Its totient is φ = 28786560.

The previous prime is 112870187. The next prime is 112870201. The reversal of 112870200 is 2078211.

112870200 = 319² + 320² + ... + 718².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112870201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9711 + ... + 17889.

It is an arithmetic number, because the mean of its divisors is an integer number (3803700).

Almost surely, 2^112870200 is an apocalyptic number.

112870200 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 112870200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182577600).

112870200 is an abundant number, since it is smaller than the sum of its proper divisors (252285000).

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

112870200 is a wasteful number, since it uses less digits than its factorization.

112870200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8221 (or 8212 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 112870200 is about 10624.0387800497. The cubic root of 112870200 is about 483.2736298298.

It can be divided in two parts, 1 and 12870200, that added together give a triangular number (12870201 = T₅₀₇₃).

The spelling of 112870200 in words is "one hundred twelve million, eight hundred seventy thousand, two hundred".