20220333120 has 336 divisors, whose sum is σ = 79307832240. Its totient is φ = 4684382208.

The previous prime is 20220333109. The next prime is 20220333127. The reversal of 20220333120 is 2133302202.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1163082816 + 19057250304 = 34104^2 + 138048^2 .

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 = 20220333093 and 20220333102.

It is not an unprimeable number, because it can be changed into a prime (20220333127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 620596 + ... + 652364.

It is an arithmetic number, because the mean of its divisors is an integer number (236035215).

Almost surely, 2^20220333120 is an apocalyptic number.

20220333120 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 20220333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39653916120).

20220333120 is an abundant number, since it is smaller than the sum of its proper divisors (59087499120).

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

20220333120 is a wasteful number, since it uses less digits than its factorization.

20220333120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31822 (or 31809 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 20220333120 its reverse (2133302202), we get a palindrome (22353635322).

The spelling of 20220333120 in words is "twenty billion, two hundred twenty million, three hundred thirty-three thousand, one hundred twenty".