112021200 has 270 divisors, whose sum is σ = 413493314. Its totient is φ = 28062720.

The previous prime is 112021187. The next prime is 112021223. The reversal of 112021200 is 2120211.

It can be written as a sum of positive squares in 9 ways, for example, as 8714304 + 103306896 = 2952^2 + 10164^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3027582 + ... + 3027618.

Almost surely, 2^112021200 is an apocalyptic number.

112021200 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 112021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206746657).

112021200 is an abundant number, since it is smaller than the sum of its proper divisors (301472114).

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

112021200 is a wasteful number, since it uses less digits than its factorization.

112021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 112021200 is about 10584.0068027189. The cubic root of 112021200 is about 482.0588646163.

Adding to 112021200 its reverse (2120211), we get a palindrome (114141411).

The spelling of 112021200 in words is "one hundred twelve million, twenty-one thousand, two hundred".