2213001011200 has 336 divisors, whose sum is σ = 6289986790080. Its totient is φ = 756555448320.

The previous prime is 2213001011167. The next prime is 2213001011209. The reversal of 2213001011200 is 21101003122.

It is not an unprimeable number, because it can be changed into a prime (2213001011209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 543332364 + ... + 543336436.

It is an arithmetic number, because the mean of its divisors is an integer number (18720198780).

Almost surely, 2^{2213001011200} is an apocalyptic number.

2213001011200 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 2213001011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3144993395040).

2213001011200 is an abundant number, since it is smaller than the sum of its proper divisors (4076985778880).

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

2213001011200 is an equidigital number, since it uses as much as digits as its factorization.

2213001011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4495 (or 4466 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 2213001011200 its reverse (21101003122), we get a palindrome (2234102014322).

The spelling of 2213001011200 in words is "two trillion, two hundred thirteen billion, one million, eleven thousand, two hundred".