1100000003120 has 160 divisors (see below), whose sum is σ = 2631575568384. Its totient is φ = 427441996800.

The previous prime is 1100000003119. The next prime is 1100000003131. The reversal of 1100000003120 is 213000000011.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 1100000003098 and 1100000003107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180591275 + ... + 180597365.

Almost surely, 2^{1100000003120} is an apocalyptic number.

1100000003120 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 1100000003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315787784192).

1100000003120 is an abundant number, since it is smaller than the sum of its proper divisors (1531575565264).

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

1100000003120 is a wasteful number, since it uses less digits than its factorization.

1100000003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6571 (or 6565 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 1100000003120 its reverse (213000000011), we get a palindrome (1313000003131).

The spelling of 1100000003120 in words is "one trillion, one hundred billion, three thousand, one hundred twenty".