112353216 has 112 divisors (see below), whose sum is σ = 309542688. Its totient is φ = 35942400.

The previous prime is 112353209. The next prime is 112353223. The reversal of 112353216 is 612353211.

It is an interprime number because it is at equal distance from previous prime (112353209) and next prime (112353223).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 620646 + ... + 620826.

It is an arithmetic number, because the mean of its divisors is an integer number (2763774).

Almost surely, 2^112353216 is an apocalyptic number.

112353216 is a gapful number since it is divisible by the number (16) 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 112353216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154771344).

112353216 is an abundant number, since it is smaller than the sum of its proper divisors (197189472).

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

112353216 is a wasteful number, since it uses less digits than its factorization.

112353216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 300 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 112353216 is about 10599.6799951697. The cubic root of 112353216 is about 482.5346477486.

The spelling of 112353216 in words is "one hundred twelve million, three hundred fifty-three thousand, two hundred sixteen".