2001001200000 has 576 divisors, whose sum is σ = 7302915864720. Its totient is φ = 485056000000.

The previous prime is 2001001199993. The next prime is 2001001200001. The reversal of 2001001200000 is 21001002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001001200001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 145193110 + ... + 145206890.

Almost surely, 2^{2001001200000} is an apocalyptic number.

2001001200000 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 2001001200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3651457932360).

2001001200000 is an abundant number, since it is smaller than the sum of its proper divisors (5301914664720).

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

2001001200000 is an equidigital number, since it uses as much as digits as its factorization.

2001001200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13845 (or 13802 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 2001001200000 its reverse (21001002), we get a palindrome (2001022201002).

The spelling of 2001001200000 in words is "two trillion, one billion, one million, two hundred thousand".