220020010120 has 32 divisors (see below), whose sum is σ = 508424621400. Its totient is φ = 85629408768.

The previous prime is 220020010097. The next prime is 220020010153. The reversal of 220020010120 is 21010020022.

220020010120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 212021569764 + 7998440356 = 460458^2 + 89434^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 220020010097 and 220020010106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74329605 + ... + 74332564.

Almost surely, 2^220020010120 is an apocalyptic number.

220020010120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220020010120 is an abundant number, since it is smaller than the sum of its proper divisors (288404611280).

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

220020010120 is a wasteful number, since it uses less digits than its factorization.

220020010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148662217 (or 148662213 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 220020010120 its reverse (21010020022), we get a palindrome (241030030142).

The spelling of 220020010120 in words is "two hundred twenty billion, twenty million, ten thousand, one hundred twenty".