112205440 has 64 divisors (see below), whose sum is σ = 284047560. Its totient is φ = 42237952.

The previous prime is 112205383. The next prime is 112205473. The reversal of 112205440 is 44502211.

It can be written as a sum of positive squares in 4 ways, for example, as 98247744 + 13957696 = 9912^2 + 3736^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5724 + ... + 16036.

Almost surely, 2^112205440 is an apocalyptic number.

112205440 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 112205440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142023780).

112205440 is an abundant number, since it is smaller than the sum of its proper divisors (171842120).

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

112205440 is a wasteful number, since it uses less digits than its factorization.

112205440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10349 (or 10337 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 112205440 is about 10592.7069250499. The cubic root of 112205440 is about 482.3229987829.

Adding to 112205440 its reverse (44502211), we get a palindrome (156707651).

The spelling of 112205440 in words is "one hundred twelve million, two hundred five thousand, four hundred forty".