112277440 has 112 divisors (see below), whose sum is σ = 294948864. Its totient is φ = 40371200.

The previous prime is 112277437. The next prime is 112277447. The reversal of 112277440 is 44772211.

It is a junction number, because it is equal to n+sod(n) for n = 112277399 and 112277408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112277447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 587745 + ... + 587935.

It is an arithmetic number, because the mean of its divisors is an integer number (2633472).

Almost surely, 2^112277440 is an apocalyptic number.

112277440 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 112277440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147474432).

112277440 is an abundant number, since it is smaller than the sum of its proper divisors (182671424).

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

112277440 is a wasteful number, since it uses less digits than its factorization.

112277440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The square root of 112277440 is about 10596.1049447427. The cubic root of 112277440 is about 482.4261424172.

The spelling of 112277440 in words is "one hundred twelve million, two hundred seventy-seven thousand, four hundred forty".