112381200 has 360 divisors, whose sum is σ = 431758080. Its totient is φ = 26956800.

The previous prime is 112381133. The next prime is 112381223. The reversal of 112381200 is 2183211.

112381200 = 188² + 189² + ... + 700².

It is a Cunningham number, because it is equal to 10601²-1.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×112381200² = 25259068226880000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2120374 + ... + 2120426.

It is an arithmetic number, because the mean of its divisors is an integer number (1199328).

Almost surely, 2^112381200 is an apocalyptic number.

112381200 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 112381200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215879040).

112381200 is an abundant number, since it is smaller than the sum of its proper divisors (319376880).

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

112381200 is a wasteful number, since it uses less digits than its factorization.

112381200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 112381200 is about 10600.9999528346. Note that the first 4 decimals coincide. The cubic root of 112381200 is about 482.5747063220.

The spelling of 112381200 in words is "one hundred twelve million, three hundred eighty-one thousand, two hundred".