20331132001120 has 768 divisors, whose sum is σ = 53332386508800. Its totient is φ = 7306371072000.

The previous prime is 20331132001073. The next prime is 20331132001121. The reversal of 20331132001120 is 2110023113302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20331132001121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 61423359355 + ... + 61423359685.

It is an arithmetic number, because the mean of its divisors is an integer number (69443211600).

Almost surely, 2^{20331132001120} is an apocalyptic number.

20331132001120 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 20331132001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26666193254400).

20331132001120 is an abundant number, since it is smaller than the sum of its proper divisors (33001254507680).

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

20331132001120 is a wasteful number, since it uses less digits than its factorization.

20331132001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 20331132001120 its reverse (2110023113302), we get a palindrome (22441155114422).

The spelling of 20331132001120 in words is "twenty trillion, three hundred thirty-one billion, one hundred thirty-two million, one thousand, one hundred twenty".