112002180 has 96 divisors (see below), whose sum is σ = 329543424. Its totient is φ = 28368384.

The previous prime is 112002179. The next prime is 112002181. The reversal of 112002180 is 81200211.

It is an interprime number because it is at equal distance from previous prime (112002179) and next prime (112002181).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (112002181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 382114 + ... + 382406.

It is an arithmetic number, because the mean of its divisors is an integer number (3432744).

Almost surely, 2^112002180 is an apocalyptic number.

112002180 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 112002180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164771712).

112002180 is an abundant number, since it is smaller than the sum of its proper divisors (217541244).

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

112002180 is a wasteful number, since it uses less digits than its factorization.

112002180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 112002180 is about 10583.1082390761. The cubic root of 112002180 is about 482.0315802613.

Adding to 112002180 its reverse (81200211), we get a palindrome (193202391).

The spelling of 112002180 in words is "one hundred twelve million, two thousand, one hundred eighty".