120121221110020 has 96 divisors (see below), whose sum is σ = 279013524090336. Its totient is φ = 43151781888000.

The previous prime is 120121221109987. The next prime is 120121221110027. The reversal of 120121221110020 is 20011122121021.

It can be written as a sum of positive squares in 16 ways, for example, as 21146459766784 + 98974761343236 = 4598528^2 + 9948606^2 .

It is a junction number, because it is equal to n+sod(n) for n = 120121221109976 and 120121221110003.

It is not an unprimeable number, because it can be changed into a prime (120121221110027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221190820 + ... + 221733220.

It is an arithmetic number, because the mean of its divisors is an integer number (2906390875941).

Almost surely, 2^{120121221110020} is an apocalyptic number.

120121221110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120121221110020 is an abundant number, since it is smaller than the sum of its proper divisors (158892302980316).

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

120121221110020 is a wasteful number, since it uses less digits than its factorization.

120121221110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565481 (or 565479 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 120121221110020 its reverse (20011122121021), we get a palindrome (140132343231041).

The spelling of 120121221110020 in words is "one hundred twenty trillion, one hundred twenty-one billion, two hundred twenty-one million, one hundred ten thousand, twenty".