2121233201200 has 120 divisors (see below), whose sum is σ = 5403560310720. Its totient is φ = 797469388800.

The previous prime is 2121233201179. The next prime is 2121233201207. The reversal of 2121233201200 is 21023321212.

It is not an unprimeable number, because it can be changed into a prime (2121233201207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4672270 + ... + 5106130.

It is an arithmetic number, because the mean of its divisors is an integer number (45029669256).

Almost surely, 2^{2121233201200} is an apocalyptic number.

2121233201200 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 2121233201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2701780155360).

2121233201200 is an abundant number, since it is smaller than the sum of its proper divisors (3282327109520).

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

2121233201200 is a wasteful number, since it uses less digits than its factorization.

2121233201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434615 (or 434604 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 2121233201200 its reverse (21023321212), we get a palindrome (2142256522412).

The spelling of 2121233201200 in words is "two trillion, one hundred twenty-one billion, two hundred thirty-three million, two hundred one thousand, two hundred".