2001320122200 has 288 divisors, whose sum is σ = 7224807114000. Its totient is φ = 456950108160.

The previous prime is 2001320122181. The next prime is 2001320122201. The reversal of 2001320122200 is 22210231002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2001320122200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001320122201) 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, 27511476 + ... + 27584124.

Almost surely, 2^{2001320122200} is an apocalyptic number.

2001320122200 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 2001320122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3612403557000).

2001320122200 is an abundant number, since it is smaller than the sum of its proper divisors (5223486991800).

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

2001320122200 is a wasteful number, since it uses less digits than its factorization.

2001320122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73619 (or 73603 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 2001320122200 its reverse (22210231002), we get a palindrome (2023530353202).

The spelling of 2001320122200 in words is "two trillion, one billion, three hundred twenty million, one hundred twenty-two thousand, two hundred".