112055520 has 96 divisors (see below), whose sum is σ = 360557568. Its totient is φ = 29239808.

The previous prime is 112055513. The next prime is 112055527. The reversal of 112055520 is 25550211.

112055520 = 425² + 426² + ... + 744².

It is an interprime number because it is at equal distance from previous prime (112055513) and next prime (112055527).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112055527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20077 + ... + 25043.

It is an arithmetic number, because the mean of its divisors is an integer number (3755808).

Almost surely, 2^112055520 is an apocalyptic number.

112055520 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 112055520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180278784).

112055520 is an abundant number, since it is smaller than the sum of its proper divisors (248502048).

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

112055520 is a wasteful number, since it uses less digits than its factorization.

112055520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5032 (or 5024 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 21.

The square root of 112055520 is about 10585.6279927078. The cubic root of 112055520 is about 482.1080891409.

It can be divided in two parts, 112055 and 520, that added together give a triangular number (112575 = T₄₇₄).

The spelling of 112055520 in words is "one hundred twelve million, fifty-five thousand, five hundred twenty".