112277120 has 32 divisors (see below), whose sum is σ = 268414020. Its totient is φ = 44910592.

The previous prime is 112277101. The next prime is 112277141. The reversal of 112277120 is 21772211.

It can be written as a sum of positive squares in 2 ways, for example, as 105349696 + 6927424 = 10264^2 + 2632^2 .

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 87077 + ... + 88356.

Almost surely, 2^112277120 is an apocalyptic number.

112277120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112277120 is an abundant number, since it is smaller than the sum of its proper divisors (156136900).

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

112277120 is an equidigital number, since it uses as much as digits as its factorization.

112277120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175452 (or 175440 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 23.

The square root of 112277120 is about 10596.0898448437. The cubic root of 112277120 is about 482.4256840987.

The spelling of 112277120 in words is "one hundred twelve million, two hundred seventy-seven thousand, one hundred twenty".