2001123020200 has 72 divisors (see below), whose sum is σ = 4668584492250. Its totient is φ = 797710455040.

The previous prime is 2001123020189. The next prime is 2001123020209. The reversal of 2001123020200 is 20203211002.

It can be written as a sum of positive squares in 9 ways, for example, as 954712684836 + 1046410335364 = 977094^2 + 1022942^2 .

It is not an unprimeable number, because it can be changed into a prime (2001123020209) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17111526 + ... + 17228074.

Almost surely, 2^{2001123020200} is an apocalyptic number.

2001123020200 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 2001123020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2334292246125).

2001123020200 is an abundant number, since it is smaller than the sum of its proper divisors (2667461472050).

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

2001123020200 is a wasteful number, since it uses less digits than its factorization.

2001123020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117151 (or 116849 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 2001123020200 its reverse (20203211002), we get a palindrome (2021326231202).

The spelling of 2001123020200 in words is "two trillion, one billion, one hundred twenty-three million, twenty thousand, two hundred".