2112017000 has 32 divisors (see below), whose sum is σ = 4942122120. Its totient is φ = 844806400.

The previous prime is 2112016997. The next prime is 2112017009. The reversal of 2112017000 is 7102112.

It can be written as a sum of positive squares in 4 ways, for example, as 913611076 + 1198405924 = 30226^2 + 34618^2 .

It is not an unprimeable number, because it can be changed into a prime (2112017009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1055009 + ... + 1057008.

Almost surely, 2^2112017000 is an apocalyptic number.

2112017000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112017000 is an abundant number, since it is smaller than the sum of its proper divisors (2830105120).

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

2112017000 is a wasteful number, since it uses less digits than its factorization.

2112017000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2112038 (or 2112024 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 14.

The square root of 2112017000 is about 45956.6861294415. The cubic root of 2112017000 is about 1283.0171744186.

Adding to 2112017000 its reverse (7102112), we get a palindrome (2119119112).

The spelling of 2112017000 in words is "two billion, one hundred twelve million, seventeen thousand".