112217760 has 72 divisors (see below), whose sum is σ = 382948020. Its totient is φ = 29924352.

The previous prime is 112217741. The next prime is 112217771. The reversal of 112217760 is 67712211.

It can be written as a sum of positive squares in 2 ways, for example, as 109746576 + 2471184 = 10476^2 + 1572^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37525 + ... + 40404.

Almost surely, 2^112217760 is an apocalyptic number.

112217760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112217760 is an abundant number, since it is smaller than the sum of its proper divisors (270730260).

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

112217760 is a wasteful number, since it uses less digits than its factorization.

112217760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77950 (or 77939 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 112217760 is about 10593.2884412726. The cubic root of 112217760 is about 482.3406509332.

Adding to 112217760 its reverse (67712211), we get a palindrome (179929971).

It can be divided in two parts, 11221 and 7760, that added together give a palindrome (18981).

The spelling of 112217760 in words is "one hundred twelve million, two hundred seventeen thousand, seven hundred sixty".