1100333112120 has 768 divisors, whose sum is σ = 4164904673280. Its totient is φ = 249404313600.

The previous prime is 1100333112113. The next prime is 1100333112133. The reversal of 1100333112120 is 212113330011.

1100333112120 is a `hidden beast` number, since 1 + 100 + 333 + 112 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1100333112093 and 1100333112102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 713112069 + ... + 713113611.

It is an arithmetic number, because the mean of its divisors is an integer number (5423052960).

Almost surely, 2^{1100333112120} is an apocalyptic number.

1100333112120 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 1100333112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2082452336640).

1100333112120 is an abundant number, since it is smaller than the sum of its proper divisors (3064571561160).

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

1100333112120 is a wasteful number, since it uses less digits than its factorization.

1100333112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1796 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1100333112120 its reverse (212113330011), we get a palindrome (1312446442131).

The spelling of 1100333112120 in words is "one trillion, one hundred billion, three hundred thirty-three million, one hundred twelve thousand, one hundred twenty".