2000212122000 has 160 divisors (see below), whose sum is σ = 6451737312384. Its totient is φ = 533137344000.

The previous prime is 2000212121989. The next prime is 2000212122079. The reversal of 2000212122000 is 2212120002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12768147 + ... + 12923853.

Almost surely, 2^{2000212122000} is an apocalyptic number.

2000212122000 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 2000212122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3225868656192).

2000212122000 is an abundant number, since it is smaller than the sum of its proper divisors (4451525190384).

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

2000212122000 is a wasteful number, since it uses less digits than its factorization.

2000212122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157874 (or 157858 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2000212122000 its reverse (2212120002), we get a palindrome (2002424242002).

It can be divided in two parts, 2000212 and 122000, that added together give a palindrome (2122212).

The spelling of 2000212122000 in words is "two trillion, two hundred twelve million, one hundred twenty-two thousand".