1103331222000 has 960 divisors, whose sum is σ = 4490284032000. Its totient is φ = 247301683200.

The previous prime is 1103331221981. The next prime is 1103331222043. The reversal of 1103331222000 is 2221333011.

1103331222000 is a `hidden beast` number, since 1 + 10 + 333 + 122 + 200 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 1980845722 + ... + 1980846278.

It is an arithmetic number, because the mean of its divisors is an integer number (4677379200).

Almost surely, 2^{1103331222000} is an apocalyptic number.

1103331222000 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 1103331222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2245142016000).

1103331222000 is an abundant number, since it is smaller than the sum of its proper divisors (3386952810000).

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

1103331222000 is a wasteful number, since it uses less digits than its factorization.

1103331222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1103331222000 its reverse (2221333011), we get a palindrome (1105552555011).

The spelling of 1103331222000 in words is "one trillion, one hundred three billion, three hundred thirty-one million, two hundred twenty-two thousand".