1101111222120 has 512 divisors, whose sum is σ = 4421170252800. Its totient is φ = 212745388032.

The previous prime is 1101111222091. The next prime is 1101111222143. The reversal of 1101111222120 is 212221111011.

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 1101111222120.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6788526 + ... + 6948834.

It is an arithmetic number, because the mean of its divisors is an integer number (8635098150).

Almost surely, 2^{1101111222120} is an apocalyptic number.

1101111222120 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 1101111222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2210585126400).

1101111222120 is an abundant number, since it is smaller than the sum of its proper divisors (3320059030680).

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

1101111222120 is a wasteful number, since it uses less digits than its factorization.

1101111222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160397 (or 160393 counting only the distinct ones).

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

Adding to 1101111222120 its reverse (212221111011), we get a palindrome (1313332333131).

It can be divided in two parts, 1101111 and 222120, that added together give a palindrome (1323231).

The spelling of 1101111222120 in words is "one trillion, one hundred one billion, one hundred eleven million, two hundred twenty-two thousand, one hundred twenty".