220120020 has 36 divisors (see below), whose sum is σ = 667697940. Its totient is φ = 58698624.

The previous prime is 220120003. The next prime is 220120027. The reversal of 220120020 is 20021022.

It can be written as a sum of positive squares in 2 ways, for example, as 26687556 + 193432464 = 5166^2 + 13908^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 220119984 and 220120011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220120027) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 611265 + ... + 611624.

It is an arithmetic number, because the mean of its divisors is an integer number (18547165).

Almost surely, 2^220120020 is an apocalyptic number.

220120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220120020 is an abundant number, since it is smaller than the sum of its proper divisors (447577920).

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

220120020 is a wasteful number, since it uses less digits than its factorization.

220120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222904 (or 1222899 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 220120020 is about 14836.4422959145. The cubic root of 220120020 is about 603.7908322113.

Adding to 220120020 its reverse (20021022), we get a palindrome (240141042).

The spelling of 220120020 in words is "two hundred twenty million, one hundred twenty thousand, twenty".