120121221220220 has 384 divisors, whose sum is σ = 291793031921664. Its totient is φ = 41146963200000.

The previous prime is 120121221220213. The next prime is 120121221220277. The reversal of 120121221220220 is 22022122121021.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 120121221220192 and 120121221220201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11833432145 + ... + 11833442295.

It is an arithmetic number, because the mean of its divisors is an integer number (759877687296).

Almost surely, 2^{120121221220220} is an apocalyptic number.

120121221220220 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 120121221220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145896515960832).

120121221220220 is an abundant number, since it is smaller than the sum of its proper divisors (171671810701444).

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

120121221220220 is a wasteful number, since it uses less digits than its factorization.

120121221220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10633 (or 10631 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 120121221220220 its reverse (22022122121021), we get a palindrome (142143343341241).

The spelling of 120121221220220 in words is "one hundred twenty trillion, one hundred twenty-one billion, two hundred twenty-one million, two hundred twenty thousand, two hundred twenty".