220302131220 has 144 divisors (see below), whose sum is σ = 675292454928. Its totient is φ = 58128844800.

The previous prime is 220302131183. The next prime is 220302131243. The reversal of 220302131220 is 22131203022.

It can be written as a sum of positive squares in 8 ways, for example, as 3814791696 + 216487339524 = 61764^2 + 465282^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 220302131193 and 220302131202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40665952 + ... + 40671368.

It is an arithmetic number, because the mean of its divisors is an integer number (4689530937).

Almost surely, 2^220302131220 is an apocalyptic number.

220302131220 is a gapful number since it is divisible by the number (20) 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 220302131220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337646227464).

220302131220 is an abundant number, since it is smaller than the sum of its proper divisors (454990323708).

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

220302131220 is a wasteful number, since it uses less digits than its factorization.

220302131220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7770 (or 7765 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 220302131220 its reverse (22131203022), we get a palindrome (242433334242).

The spelling of 220302131220 in words is "two hundred twenty billion, three hundred two million, one hundred thirty-one thousand, two hundred twenty".