220120220021020 has 384 divisors, whose sum is σ = 542634572777472. Its totient is φ = 74219599872000.

The previous prime is 220120220021003. The next prime is 220120220021029. The reversal of 220120220021020 is 20120022021022.

It is a super-2 number, since 2×220120220021020² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220120220020985 and 220120220021003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220120220021029) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5111089527 + ... + 5111132593.

It is an arithmetic number, because the mean of its divisors is an integer number (1413110866608).

Almost surely, 2^{220120220021020} is an apocalyptic number.

220120220021020 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 220120220021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271317286388736).

220120220021020 is an abundant number, since it is smaller than the sum of its proper divisors (322514352756452).

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

220120220021020 is a wasteful number, since it uses less digits than its factorization.

220120220021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43421 (or 43419 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 220120220021020 its reverse (20120022021022), we get a palindrome (240240242042042).

It can be divided in two parts, 2201202 and 20021020, that added together give a palindrome (22222222).

The spelling of 220120220021020 in words is "two hundred twenty trillion, one hundred twenty billion, two hundred twenty million, twenty-one thousand, twenty".