2001211120040 has 128 divisors (see below), whose sum is σ = 4946867251200. Its totient is φ = 722566606080.

The previous prime is 2001211120039. The next prime is 2001211120049. The reversal of 2001211120040 is 400211121002.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2001211119997 and 2001211120024.

It is not an unprimeable number, because it can be changed into a prime (2001211120049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69571181 + ... + 69599939.

It is an arithmetic number, because the mean of its divisors is an integer number (38647400400).

Almost surely, 2^{2001211120040} is an apocalyptic number.

2001211120040 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 2001211120040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2473433625600).

2001211120040 is an abundant number, since it is smaller than the sum of its proper divisors (2945656131160).

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

2001211120040 is a wasteful number, since it uses less digits than its factorization.

2001211120040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29895 (or 29891 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2001211120040 its reverse (400211121002), we get a palindrome (2401422241042).

The spelling of 2001211120040 in words is "two trillion, one billion, two hundred eleven million, one hundred twenty thousand, forty".