2001330122000 has 160 divisors (see below), whose sum is σ = 5298641008128. Its totient is φ = 725068800000.

The previous prime is 2001330121949. The next prime is 2001330122009. The reversal of 2001330122000 is 2210331002.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2001330122009) 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, 5794160 + ... + 6129840.

Almost surely, 2^{2001330122000} is an apocalyptic number.

2001330122000 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 2001330122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2649320504064).

2001330122000 is an abundant number, since it is smaller than the sum of its proper divisors (3297310886128).

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

2001330122000 is a wasteful number, since it uses less digits than its factorization.

2001330122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335986 (or 335970 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 2001330122000 its reverse (2210331002), we get a palindrome (2003540453002).

The spelling of 2001330122000 in words is "two trillion, one billion, three hundred thirty million, one hundred twenty-two thousand".