120220221020020 has 768 divisors, whose sum is σ = 304353133185024. Its totient is φ = 39734525952000.

The previous prime is 120220221019963. The next prime is 120220221020041. The reversal of 120220221020020 is 20020122022021.

It is a junction number, because it is equal to n+sod(n) for n = 120220221019976 and 120220221020003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 457111106409 + ... + 457111106671.

It is an arithmetic number, because the mean of its divisors is an integer number (396293142168).

Almost surely, 2^{120220221020020} is an apocalyptic number.

120220221020020 is a gapful number since it is divisible by the number (10) 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 120220221020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152176566592512).

120220221020020 is an abundant number, since it is smaller than the sum of its proper divisors (184132912165004).

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

120220221020020 is a wasteful number, since it uses less digits than its factorization.

120220221020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 609 counting only the distinct ones).

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

Adding to 120220221020020 its reverse (20020122022021), we get a palindrome (140240343042041).

It can be divided in two parts, 1202202 and 21020020, that added together give a palindrome (22222222).

The spelling of 120220221020020 in words is "one hundred twenty trillion, two hundred twenty billion, two hundred twenty-one million, twenty thousand, twenty".