1100111333120 has 144 divisors (see below), whose sum is σ = 2936966286240. Its totient is φ = 392361541632.

The previous prime is 1100111333119. The next prime is 1100111333161. The reversal of 1100111333120 is 213331110011.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 916997 + ... + 1743876.

It is an arithmetic number, because the mean of its divisors is an integer number (20395599210).

Almost surely, 2^{1100111333120} is an apocalyptic number.

1100111333120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100111333120 is an abundant number, since it is smaller than the sum of its proper divisors (1836854953120).

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

1100111333120 is a wasteful number, since it uses less digits than its factorization.

1100111333120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2660930 (or 2660916 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 1100111333120 its reverse (213331110011), we get a palindrome (1313442443131).

The spelling of 1100111333120 in words is "one trillion, one hundred billion, one hundred eleven million, three hundred thirty-three thousand, one hundred twenty".