2012000 has 48 divisors (see below), whose sum is σ = 4953312. Its totient is φ = 803200.

The previous prime is 2011987. The next prime is 2012009. The reversal of 2012000 is 2102.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3749 + ... + 4251.

It is an arithmetic number, because the mean of its divisors is an integer number (103194).

2^2012000 is an apocalyptic number.

2012000 is a gapful number since it is divisible by the number (20) 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 2012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2476656).

2012000 is an abundant number, since it is smaller than the sum of its proper divisors (2941312).

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

2012000 is an equidigital number, since it uses as much as digits as its factorization.

2012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 2012000 is about 1418.4498581198. The cubic root of 2012000 is about 126.2435869043.

Adding to 2012000 its reverse (2102), we get a palindrome (2014102).

The spelling of 2012000 in words is "two million, twelve thousand".