2213211222000 has 640 divisors, whose sum is σ = 8007487488000. Its totient is φ = 584323891200.

The previous prime is 2213211221957. The next prime is 2213211222011. The reversal of 2213211222000 is 2221123122.

2213211222000 is a `hidden beast` number, since 2 + 21 + 321 + 122 + 200 + 0 = 666.

2213211222000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2878037616 + ... + 2878038384.

It is an arithmetic number, because the mean of its divisors is an integer number (12511699200).

Almost surely, 2^{2213211222000} is an apocalyptic number.

2213211222000 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 2213211222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4003743744000).

2213211222000 is an abundant number, since it is smaller than the sum of its proper divisors (5794276266000).

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

2213211222000 is a wasteful number, since it uses less digits than its factorization.

2213211222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2213211222000 its reverse (2221123122), we get a palindrome (2215432345122).

It can be divided in two parts, 221321122 and 2000, that added together give a palindrome (221323122).

The spelling of 2213211222000 in words is "two trillion, two hundred thirteen billion, two hundred eleven million, two hundred twenty-two thousand".