2001122311200 has 288 divisors, whose sum is σ = 6618450892032. Its totient is φ = 525081600000.

The previous prime is 2001122311141. The next prime is 2001122311207. The reversal of 2001122311200 is 21132211002.

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 2001122311200.

It is not an unprimeable number, because it can be changed into a prime (2001122311207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75497950 + ... + 75524450.

It is an arithmetic number, because the mean of its divisors is an integer number (22980732264).

Almost surely, 2^{2001122311200} is an apocalyptic number.

2001122311200 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 2001122311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3309225446016).

2001122311200 is an abundant number, since it is smaller than the sum of its proper divisors (4617328580832).

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

2001122311200 is a wasteful number, since it uses less digits than its factorization.

2001122311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27028 (or 27015 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 2001122311200 its reverse (21132211002), we get a palindrome (2022254522202).

The spelling of 2001122311200 in words is "two trillion, one billion, one hundred twenty-two million, three hundred eleven thousand, two hundred".