220233133011220 has 192 divisors, whose sum is σ = 531798404659200. Its totient is φ = 75047191511040.

The previous prime is 220233133011191. The next prime is 220233133011223. The reversal of 220233133011220 is 22110331332022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220233133011223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45948909144 + ... + 45948913936.

It is an arithmetic number, because the mean of its divisors is an integer number (2769783357600).

Almost surely, 2^{220233133011220} is an apocalyptic number.

220233133011220 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 220233133011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265899202329600).

220233133011220 is an abundant number, since it is smaller than the sum of its proper divisors (311565271647980).

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

220233133011220 is a wasteful number, since it uses less digits than its factorization.

220233133011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7418 (or 7416 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 220233133011220 its reverse (22110331332022), we get a palindrome (242343464343242).

The spelling of 220233133011220 in words is "two hundred twenty trillion, two hundred thirty-three billion, one hundred thirty-three million, eleven thousand, two hundred twenty".