20320233120 has 288 divisors, whose sum is σ = 75974842944. Its totient is φ = 4904755200.

The previous prime is 20320233119. The next prime is 20320233191. The reversal of 20320233120 is 2133202302.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×20320233120² (a number of 21 digits) contains 22 as substring.

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 = 20320233093 and 20320233102.

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, 3814779 + ... + 3820101.

It is an arithmetic number, because the mean of its divisors is an integer number (263801538).

Almost surely, 2^20320233120 is an apocalyptic number.

20320233120 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 20320233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37987421472).

20320233120 is an abundant number, since it is smaller than the sum of its proper divisors (55654609824).

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

20320233120 is a wasteful number, since it uses less digits than its factorization.

20320233120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5596 (or 5585 counting only the distinct ones).

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

Adding to 20320233120 its reverse (2133202302), we get a palindrome (22453435422).

The spelling of 20320233120 in words is "twenty billion, three hundred twenty million, two hundred thirty-three thousand, one hundred twenty".