1111001001000 has 128 divisors (see below), whose sum is σ = 3781443519360. Its totient is φ = 269333568000.

The previous prime is 1111001000971. The next prime is 1111001001013. The reversal of 1111001001000 is 1001001111.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1111001001000.

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 31 ways as a sum of consecutive naturals, for example, 16800349 + ... + 16866348.

It is an arithmetic number, because the mean of its divisors is an integer number (29542527495).

Almost surely, 2^{1111001001000} is an apocalyptic number.

1111001001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1111001001000 is an abundant number, since it is smaller than the sum of its proper divisors (2670442518360).

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

1111001001000 is a wasteful number, since it uses less digits than its factorization.

1111001001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33666732 (or 33666718 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 1111001001000 its reverse (1001001111), we get a palindrome (1112002002111).

The spelling of 1111001001000 in words is "one trillion, one hundred eleven billion, one million, one thousand".