2213023111200 has 324 divisors, whose sum is σ = 8577594080874. Its totient is φ = 536490240000.

The previous prime is 2213023111177. The next prime is 2213023111259. The reversal of 2213023111200 is 21113203122.

2213023111200 is a `hidden beast` number, since 22 + 130 + 2 + 311 + 1 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1108733185296 + 1104289925904 = 1052964^2 + 1050852^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 398901 + ... + 2141300.

Almost surely, 2^{2213023111200} is an apocalyptic number.

2213023111200 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 2213023111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4288797040437).

2213023111200 is an abundant number, since it is smaller than the sum of its proper divisors (6364570969674).

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

2213023111200 is a wasteful number, since it uses less digits than its factorization.

2213023111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2540249 (or 2540222 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2213023111200 its reverse (21113203122), we get a palindrome (2234136314322).

The spelling of 2213023111200 in words is "two trillion, two hundred thirteen billion, twenty-three million, one hundred eleven thousand, two hundred".