112741200 has 480 divisors, whose sum is σ = 477886080. Its totient is φ = 24883200.

The previous prime is 112741177. The next prime is 112741217. The reversal of 112741200 is 2147211.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1544364 + ... + 1544436.

It is an arithmetic number, because the mean of its divisors is an integer number (995596).

Almost surely, 2^112741200 is an apocalyptic number.

112741200 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 112741200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238943040).

112741200 is an abundant number, since it is smaller than the sum of its proper divisors (365144880).

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

112741200 is a wasteful number, since it uses less digits than its factorization.

112741200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 112741200 is about 10617.9659068957. The cubic root of 112741200 is about 483.0894475751.

Adding to 112741200 its reverse (2147211), we get a palindrome (114888411).

The spelling of 112741200 in words is "one hundred twelve million, seven hundred forty-one thousand, two hundred".