2012022000 has 120 divisors (see below), whose sum is σ = 7027385040. Its totient is φ = 536534400.

The previous prime is 2012021989. The next prime is 2012022017. The reversal of 2012022000 is 2202102.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

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 23 ways as a sum of consecutive naturals, for example, 37890 + ... + 73889.

It is an arithmetic number, because the mean of its divisors is an integer number (58561542).

Almost surely, 2^2012022000 is an apocalyptic number.

2012022000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012022000 is an abundant number, since it is smaller than the sum of its proper divisors (5015363040).

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

2012022000 is a wasteful number, since it uses less digits than its factorization.

2012022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111808 (or 111789 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2012022000 is about 44855.5682162204. The cubic root of 2012022000 is about 1262.4404703493.

Adding to 2012022000 its reverse (2202102), we get a palindrome (2014224102).

The spelling of 2012022000 in words is "two billion, twelve million, twenty-two thousand".