112201000 has 128 divisors (see below), whose sum is σ = 280519200. Its totient is φ = 41932800.

The previous prime is 112200973. The next prime is 112201007. The reversal of 112201000 is 102211.

It can be written as a sum of positive squares in 16 ways, for example, as 306916 + 111894084 = 554^2 + 10578^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112201007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1536964 + ... + 1537036.

Almost surely, 2^112201000 is an apocalyptic number.

112201000 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 112201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140259600).

112201000 is an abundant number, since it is smaller than the sum of its proper divisors (168318200).

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

112201000 is a wasteful number, since it uses less digits than its factorization.

112201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 112201000 is about 10592.4973448191. The cubic root of 112201000 is about 482.3166368146.

Adding to 112201000 its reverse (102211), we get a palindrome (112303211).

The spelling of 112201000 in words is "one hundred twelve million, two hundred one thousand".