112142800 has 180 divisors, whose sum is σ = 339471328. Its totient is φ = 34848000.

The previous prime is 112142777. The next prime is 112142809. The reversal of 112142800 is 8241211.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112142809) 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, 338635 + ... + 338965.

Almost surely, 2^112142800 is an apocalyptic number.

112142800 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 112142800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169735664).

112142800 is an abundant number, since it is smaller than the sum of its proper divisors (227328528).

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

112142800 is a wasteful number, since it uses less digits than its factorization.

112142800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 112142800 is about 10589.7497609717. The cubic root of 112142800 is about 482.2332279227.

The spelling of 112142800 in words is "one hundred twelve million, one hundred forty-two thousand, eight hundred".