112907200 has 168 divisors, whose sum is σ = 336755232. Its totient is φ = 36372480.

The previous prime is 112907159. The next prime is 112907203. The reversal of 112907200 is 2709211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112907203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190104 + ... + 190696.

Almost surely, 2^112907200 is an apocalyptic number.

112907200 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 112907200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168377616).

112907200 is an abundant number, since it is smaller than the sum of its proper divisors (223848032).

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

112907200 is a wasteful number, since it uses less digits than its factorization.

112907200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 22.

The square root of 112907200 is about 10625.7799713715. The cubic root of 112907200 is about 483.3264313983.

It can be divided in two parts, 112 and 907200, that multiplied together give a square (101606400 = 10080²).

The spelling of 112907200 in words is "one hundred twelve million, nine hundred seven thousand, two hundred".