2311101120 has 224 divisors, whose sum is σ = 7631801856. Its totient is φ = 592076800.

The previous prime is 2311101109. The next prime is 2311101127. The reversal of 2311101120 is 211011132.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2311101096 and 2311101105.

It is not an unprimeable number, because it can be changed into a prime (2311101127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2794147 + ... + 2794973.

It is an arithmetic number, because the mean of its divisors is an integer number (34070544).

Almost surely, 2^2311101120 is an apocalyptic number.

2311101120 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 2311101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3815900928).

2311101120 is an abundant number, since it is smaller than the sum of its proper divisors (5320700736).

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

2311101120 is a wasteful number, since it uses less digits than its factorization.

2311101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 2311101120 is about 48073.9130922375. The cubic root of 2311101120 is about 1322.1264165636.

Adding to 2311101120 its reverse (211011132), we get a palindrome (2522112252).

The spelling of 2311101120 in words is "two billion, three hundred eleven million, one hundred one thousand, one hundred twenty".