1100012332320 has 144 divisors (see below), whose sum is σ = 4095045968832. Its totient is φ = 266669652480.

The previous prime is 1100012332319. The next prime is 1100012332399. The reversal of 1100012332320 is 232332100011.

1100012332320 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 0 + 12 + 332 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1100012332320² (a number of 25 digits) contains 22 as substring.

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 = 1100012332293 and 1100012332302.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 34706772 + ... + 34738451.

It is an arithmetic number, because the mean of its divisors is an integer number (28437819228).

Almost surely, 2^{1100012332320} is an apocalyptic number.

1100012332320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100012332320 is an abundant number, since it is smaller than the sum of its proper divisors (2995033636512).

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

1100012332320 is a wasteful number, since it uses less digits than its factorization.

1100012332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69445255 (or 69445244 counting only the distinct ones).

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

Adding to 1100012332320 its reverse (232332100011), we get a palindrome (1332344432331).

The spelling of 1100012332320 in words is "one trillion, one hundred billion, twelve million, three hundred thirty-two thousand, three hundred twenty".