2012023000 has 256 divisors, whose sum is σ = 5377881600. Its totient is φ = 699494400.

The previous prime is 2012022907. The next prime is 2012023021. The reversal of 2012023000 is 3202102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 22606956 + ... + 22607044.

It is an arithmetic number, because the mean of its divisors is an integer number (21007350).

Almost surely, 2^2012023000 is an apocalyptic number.

2012023000 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 2012023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2688940800).

2012023000 is an abundant number, since it is smaller than the sum of its proper divisors (3365858600).

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

2012023000 is a wasteful number, since it uses less digits than its factorization.

2012023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 2012023000 is about 44855.5793631071. The cubic root of 2012023000 is about 1262.4406794988.

Adding to 2012023000 its reverse (3202102), we get a palindrome (2015225102).

The spelling of 2012023000 in words is "two billion, twelve million, twenty-three thousand".