220220220112020 has 144 divisors (see below), whose sum is σ = 679366985261328. Its totient is φ = 57727390279680.

The previous prime is 220220220111973. The next prime is 220220220112043. The reversal of 220220220112020 is 20211022022022.

220220220112020 is a `hidden beast` number, since 2 + 20 + 220 + 220 + 1 + 1 + 202 + 0 = 666.

220220220112020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 39822334524036 + 180397885587984 = 6310494^2 + 13431228^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 220220220111984 and 220220220112002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11848272 + ... + 24100248.

It is an arithmetic number, because the mean of its divisors is an integer number (4717826286537).

Almost surely, 2^{220220220112020} is an apocalyptic number.

220220220112020 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 220220220112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339683492630664).

220220220112020 is an abundant number, since it is smaller than the sum of its proper divisors (459146765149308).

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

220220220112020 is a wasteful number, since it uses less digits than its factorization.

220220220112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12253690 (or 12253685 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 220220220112020 its reverse (20211022022022), we get a palindrome (240431242134042).

The spelling of 220220220112020 in words is "two hundred twenty trillion, two hundred twenty billion, two hundred twenty million, one hundred twelve thousand, twenty".