220020112222020 has 384 divisors, whose sum is σ = 781434501120000. Its totient is φ = 50872958737920.

The previous prime is 220020112222013. The next prime is 220020112222033. The reversal of 220020112222020 is 20222211020022.

220020112222020 is a `hidden beast` number, since 2 + 200 + 201 + 1 + 22 + 220 + 20 = 666.

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 = 220020112221984 and 220020112222002.

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, 45373141 + ... + 49987619.

It is an arithmetic number, because the mean of its divisors is an integer number (2034985680000).

Almost surely, 2^{220020112222020} is an apocalyptic number.

220020112222020 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 220020112222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390717250560000).

220020112222020 is an abundant number, since it is smaller than the sum of its proper divisors (561414388897980).

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

220020112222020 is a wasteful number, since it uses less digits than its factorization.

220020112222020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4614880 (or 4614872 counting only the distinct ones).

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

Adding to 220020112222020 its reverse (20222211020022), we get a palindrome (240242323242042).

The spelling of 220020112222020 in words is "two hundred twenty trillion, twenty billion, one hundred twelve million, two hundred twenty-two thousand, twenty".