1120211211120 has 160 divisors (see below), whose sum is σ = 3587650375680. Its totient is φ = 288846888960.

The previous prime is 1120211211107. The next prime is 1120211211121. The reversal of 1120211211120 is 211121120211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1120211211120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120211211121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8992621 + ... + 9116339.

It is an arithmetic number, because the mean of its divisors is an integer number (22422814848).

Almost surely, 2^{1120211211120} is an apocalyptic number.

1120211211120 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 1120211211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793825187840).

1120211211120 is an abundant number, since it is smaller than the sum of its proper divisors (2467439164560).

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

1120211211120 is a wasteful number, since it uses less digits than its factorization.

1120211211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124983 (or 124977 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1120211211120 its reverse (211121120211), we get a palindrome (1331332331331).

Subtracting from 1120211211120 its reverse (211121120211), we obtain a palindrome (909090090909).

It can be divided in two parts, 1120211 and 211120, that added together give a palindrome (1331331).

The spelling of 1120211211120 in words is "one trillion, one hundred twenty billion, two hundred eleven million, two hundred eleven thousand, one hundred twenty".