112180320 has 288 divisors, whose sum is σ = 452874240. Its totient is φ = 24744960.

The previous prime is 112180319. The next prime is 112180339. The reversal of 112180320 is 23081211.

112180320 = T₄₉₁ + T₄₉₂ + ... + T₉₂₄.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112180293 and 112180302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 312301 + ... + 312659.

It is an arithmetic number, because the mean of its divisors is an integer number (1572480).

Almost surely, 2^112180320 is an apocalyptic number.

112180320 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 112180320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226437120).

112180320 is an abundant number, since it is smaller than the sum of its proper divisors (340693920).

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

112180320 is a wasteful number, since it uses less digits than its factorization.

112180320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 112180320 is about 10591.5211372116. The cubic root of 112180320 is about 482.2870027326.

The spelling of 112180320 in words is "one hundred twelve million, one hundred eighty thousand, three hundred twenty".