220213323330000 has 1600 divisors, whose sum is σ = 955232027904000. Its totient is φ = 42204810240000.

The previous prime is 220213323329977. The next prime is 220213323330043. The reversal of 220213323330000 is 33323312022.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 53723667951 + ... + 53723672049.

It is an arithmetic number, because the mean of its divisors is an integer number (597020017440).

Almost surely, 2^{220213323330000} is an apocalyptic number.

220213323330000 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 220213323330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477616013952000).

220213323330000 is an abundant number, since it is smaller than the sum of its proper divisors (735018704574000).

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

220213323330000 is a wasteful number, since it uses less digits than its factorization.

220213323330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5950 (or 5929 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 220213323330000 its reverse (33323312022), we get a palindrome (220246646642022).

The spelling of 220213323330000 in words is "two hundred twenty trillion, two hundred thirteen billion, three hundred twenty-three million, three hundred thirty thousand".