112225680 has 180 divisors, whose sum is σ = 438562332. Its totient is φ = 25643520.

The previous prime is 112225667. The next prime is 112225693. The reversal of 112225680 is 86522211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (112225667) and next prime (112225693).

It can be written as a sum of positive squares in 2 ways, for example, as 22127616 + 90098064 = 4704^2 + 9492^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33690 + ... + 36870.

Almost surely, 2^112225680 is an apocalyptic number.

112225680 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 112225680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219281166).

112225680 is an abundant number, since it is smaller than the sum of its proper divisors (326336652).

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

112225680 is a wasteful number, since it uses less digits than its factorization.

112225680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3214 (or 3198 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 112225680 is about 10593.6622562738. The cubic root of 112225680 is about 482.3519980619.

Adding to 112225680 its reverse (86522211), we get a palindrome (198747891).

The spelling of 112225680 in words is "one hundred twelve million, two hundred twenty-five thousand, six hundred eighty".