1110211120 has 80 divisors (see below), whose sum is σ = 2656080000. Its totient is φ = 431308800.

The previous prime is 1110211117. The next prime is 1110211121. The reversal of 1110211120 is 211120111.

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 (10).

It is a junction number, because it is equal to n+sod(n) for n = 1110211097 and 1110211106.

It is not an unprimeable number, because it can be changed into a prime (1110211121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 888256 + ... + 889504.

It is an arithmetic number, because the mean of its divisors is an integer number (33201000).

Almost surely, 2^1110211120 is an apocalyptic number.

1110211120 is a gapful number since it is divisible by the number (10) 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 1110211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328040000).

1110211120 is an abundant number, since it is smaller than the sum of its proper divisors (1545868880).

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

1110211120 is a wasteful number, since it uses less digits than its factorization.

1110211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1574 (or 1568 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

The square root of 1110211120 is about 33319.8307318630. The cubic root of 1110211120 is about 1035.4644449495.

Adding to 1110211120 its reverse (211120111), we get a palindrome (1321331231).

It can be divided in two parts, 11102 and 11120, that added together give a palindrome (22222).

The spelling of 1110211120 in words is "one billion, one hundred ten million, two hundred eleven thousand, one hundred twenty".