2001212000 has 96 divisors (see below), whose sum is σ = 4930904160. Its totient is φ = 798220800.

The previous prime is 2001211981. The next prime is 2001212021. The reversal of 2001212000 is 2121002.

It is a super-3 number, since 3×2001212000³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 2707631 + ... + 2708369.

It is an arithmetic number, because the mean of its divisors is an integer number (51363585).

Almost surely, 2^2001212000 is an apocalyptic number.

2001212000 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 2001212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2465452080).

2001212000 is an abundant number, since it is smaller than the sum of its proper divisors (2929692160).

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

2001212000 is an equidigital number, since it uses as much as digits as its factorization.

2001212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1441 (or 1423 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 2001212000 is about 44734.9080696496. The cubic root of 2001212000 is about 1260.1755025544.

Adding to 2001212000 its reverse (2121002), we get a palindrome (2003333002).

The spelling of 2001212000 in words is "two billion, one million, two hundred twelve thousand".