112181000 has 32 divisors (see below), whose sum is σ = 262505880. Its totient is φ = 44872000.

The previous prime is 112180993. The next prime is 112181009. The reversal of 112181000 is 181211.

It can be written as a sum of positive squares in 4 ways, for example, as 67798756 + 44382244 = 8234^2 + 6662^2 .

It is a super-2 number, since 2×112181000² = 25169153522000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112181009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55091 + ... + 57090.

Almost surely, 2^112181000 is an apocalyptic number.

112181000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112181000 is an abundant number, since it is smaller than the sum of its proper divisors (150324880).

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

112181000 is a wasteful number, since it uses less digits than its factorization.

112181000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112202 (or 112188 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

The square root of 112181000 is about 10591.5532383121. The cubic root of 112181000 is about 482.2879772187.

The spelling of 112181000 in words is "one hundred twelve million, one hundred eighty-one thousand".