112819200 has 264 divisors, whose sum is σ = 405109488. Its totient is φ = 27525120.

The previous prime is 112819183. The next prime is 112819241. The reversal of 112819200 is 2918211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 998344 + ... + 998456.

Almost surely, 2^112819200 is an apocalyptic number.

112819200 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 112819200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202554744).

112819200 is an abundant number, since it is smaller than the sum of its proper divisors (292290288).

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

112819200 is a wasteful number, since it uses less digits than its factorization.

112819200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 112819200 is about 10621.6382917138. The cubic root of 112819200 is about 483.2008303715.

The spelling of 112819200 in words is "one hundred twelve million, eight hundred nineteen thousand, two hundred".