1110211011120 has 160 divisors (see below), whose sum is σ = 3636265478400. Its totient is φ = 279431396352.

The previous prime is 1110211011083. The next prime is 1110211011127. The reversal of 1110211011120 is 211101120111.

It is a super-3 number, since 3×1110211011120³ (a number of 37 digits) contains 333 as substring.

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 = 1110211011096 and 1110211011105.

It is not an unprimeable number, because it can be changed into a prime (1110211011127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 774099 + ... + 1679181.

It is an arithmetic number, because the mean of its divisors is an integer number (22726659240).

Almost surely, 2^{1110211011120} is an apocalyptic number.

1110211011120 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 1110211011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1818132739200).

1110211011120 is an abundant number, since it is smaller than the sum of its proper divisors (2526054467280).

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

1110211011120 is a wasteful number, since it uses less digits than its factorization.

1110211011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905387 (or 905381 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1110211011120 its reverse (211101120111), we get a palindrome (1321312131231).

The spelling of 1110211011120 in words is "one trillion, one hundred ten billion, two hundred eleven million, eleven thousand, one hundred twenty".