1100333320992 has 72 divisors (see below), whose sum is σ = 3129196035420. Its totient is φ = 366763338240.

The previous prime is 1100333320991. The next prime is 1100333321047. The reversal of 1100333320992 is 2990233330011.

It is a happy number.

1100333320992 is a `hidden beast` number, since 110 + 0 + 3 + 333 + 209 + 9 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1099553571216 + 779749776 = 1048596^2 + 27924^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1100333320991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9266734 + ... + 9384722.

Almost surely, 2^{1100333320992} is an apocalyptic number.

1100333320992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1100333320992 is an abundant number, since it is smaller than the sum of its proper divisors (2028862714428).

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

1100333320992 is a wasteful number, since it uses less digits than its factorization.

1100333320992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150386 (or 150375 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The spelling of 1100333320992 in words is "one trillion, one hundred billion, three hundred thirty-three million, three hundred twenty thousand, nine hundred ninety-two".