20332301001120 has 288 divisors, whose sum is σ = 70872908940288. Its totient is φ = 5305637044224.

The previous prime is 20332301001113. The next prime is 20332301001121. The reversal of 20332301001120 is 2110010323302.

20332301001120 is a `hidden beast` number, since 2 + 0 + 332 + 301 + 0 + 0 + 11 + 20 = 666.

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

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 = 20332301001093 and 20332301001102.

It is not an unprimeable number, because it can be changed into a prime (20332301001121) 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, 428864457 + ... + 428911863.

It is an arithmetic number, because the mean of its divisors is an integer number (246086489376).

Almost surely, 2^{20332301001120} is an apocalyptic number.

20332301001120 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 20332301001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35436454470144).

20332301001120 is an abundant number, since it is smaller than the sum of its proper divisors (50540607939168).

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

20332301001120 is a wasteful number, since it uses less digits than its factorization.

20332301001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53812 (or 53801 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20332301001120 its reverse (2110010323302), we get a palindrome (22442311324422).

The spelling of 20332301001120 in words is "twenty trillion, three hundred thirty-two billion, three hundred one million, one thousand, one hundred twenty".