2001021212000 has 96 divisors (see below), whose sum is σ = 4918142305440. Its totient is φ = 800142604800.

The previous prime is 2001021211927. The next prime is 2001021212083. The reversal of 2001021212000 is 2121201002.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12186446 + ... + 12349554.

It is an arithmetic number, because the mean of its divisors is an integer number (51230649015).

Almost surely, 2^{2001021212000} is an apocalyptic number.

2001021212000 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 2001021212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2459071152720).

2001021212000 is an abundant number, since it is smaller than the sum of its proper divisors (2917121093440).

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

2001021212000 is a wasteful number, since it uses less digits than its factorization.

2001021212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166201 (or 166183 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2001021212000 its reverse (2121201002), we get a palindrome (2003142413002).

The spelling of 2001021212000 in words is "two trillion, one billion, twenty-one million, two hundred twelve thousand".