2001121239040 has 336 divisors, whose sum is σ = 6094390284144. Its totient is φ = 623719219200.

The previous prime is 2001121239031. The next prime is 2001121239043. The reversal of 2001121239040 is 409321211002.

It is a junction number, because it is equal to n+sod(n) for n = 2001121238996 and 2001121239014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001121239043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22032120 + ... + 22122760.

Almost surely, 2^{2001121239040} is an apocalyptic number.

2001121239040 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 2001121239040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3047195142072).

2001121239040 is an abundant number, since it is smaller than the sum of its proper divisors (4093269045104).

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

2001121239040 is an equidigital number, since it uses as much as digits as its factorization.

2001121239040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90697 (or 90666 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The spelling of 2001121239040 in words is "two trillion, one billion, one hundred twenty-one million, two hundred thirty-nine thousand, forty".