1111001111000 has 192 divisors, whose sum is σ = 2864730192480. Its totient is φ = 399960000000.

The previous prime is 1111001110981. The next prime is 1111001111021. The reversal of 1111001111000 is 1111001111.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112206050 + ... + 112215950.

Almost surely, 2^{1111001111000} is an apocalyptic number.

1111001111000 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 1111001111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432365096240).

1111001111000 is an abundant number, since it is smaller than the sum of its proper divisors (1753729081480).

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

1111001111000 is a wasteful number, since it uses less digits than its factorization.

1111001111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10135 (or 10020 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 1111001111000 its reverse (1111001111), we get a palindrome (1112112112111).

1111001111000 divided by its reverse (1111001111) gives a cube (1000 = 10³).

It can be divided in two parts, 111100111 and 1000, that added together give a palindrome (111101111).

The spelling of 1111001111000 in words is "one trillion, one hundred eleven billion, one million, one hundred eleven thousand".