1001111222304 has 72 divisors (see below), whose sum is σ = 2859128728092. Its totient is φ = 332271513600.

The previous prime is 1001111222291. The next prime is 1001111222317. The reversal of 1001111222304 is 4032221111001.

It is an interprime number because it is at equal distance from previous prime (1001111222291) and next prime (1001111222317).

It can be written as a sum of positive squares in 2 ways, for example, as 999896002704 + 1215219600 = 999948^2 + 34860^2 .

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 (18).

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 11 ways as a sum of consecutive naturals, for example, 7392297 + ... + 7526504.

Almost surely, 2^{1001111222304} is an apocalyptic number.

It is an amenable number.

1001111222304 is an abundant number, since it is smaller than the sum of its proper divisors (1858017505788).

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

1001111222304 is a wasteful number, since it uses less digits than its factorization.

1001111222304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14919050 (or 14919039 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1001111222304 its reverse (4032221111001), we get a palindrome (5033332333305).

The spelling of 1001111222304 in words is "one trillion, one billion, one hundred eleven million, two hundred twenty-two thousand, three hundred four".