112292180 has 192 divisors, whose sum is σ = 325140480. Its totient is φ = 31449600.

The previous prime is 112292179. The next prime is 112292183. The reversal of 112292180 is 81292211.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112292183) 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 63 ways as a sum of consecutive naturals, for example, 1421381 + ... + 1421459.

It is an arithmetic number, because the mean of its divisors is an integer number (1693440).

Almost surely, 2^112292180 is an apocalyptic number.

112292180 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 112292180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162570240).

112292180 is an abundant number, since it is smaller than the sum of its proper divisors (212848300).

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

112292180 is a wasteful number, since it uses less digits than its factorization.

112292180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 112292180 is about 10596.8004605164. The cubic root of 112292180 is about 482.4472527732.

It can be divided in two parts, 112 and 292180, that added together give a palindrome (292292).

The spelling of 112292180 in words is "one hundred twelve million, two hundred ninety-two thousand, one hundred eighty".