20231231111120 has 80 divisors (see below), whose sum is σ = 47364222818640. Its totient is φ = 8036427571200.

The previous prime is 20231231111101. The next prime is 20231231111131. The reversal of 20231231111120 is 2111113213202.

It can be written as a sum of positive squares in 8 ways, for example, as 9907964926864 + 10323266184256 = 3147692^2 + 3212984^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 20231231111092 and 20231231111101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9281000 + ... + 11251640.

It is an arithmetic number, because the mean of its divisors is an integer number (592052785233).

Almost surely, 2^{20231231111120} is an apocalyptic number.

20231231111120 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 20231231111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23682111409320).

20231231111120 is an abundant number, since it is smaller than the sum of its proper divisors (27132991707520).

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

20231231111120 is a wasteful number, since it uses less digits than its factorization.

20231231111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1971544 (or 1971538 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 20231231111120 its reverse (2111113213202), we get a palindrome (22342344324322).

The spelling of 20231231111120 in words is "twenty trillion, two hundred thirty-one billion, two hundred thirty-one million, one hundred eleven thousand, one hundred twenty".