1001111120 has 20 divisors (see below), whose sum is σ = 2327583540. Its totient is φ = 400444416.

The previous prime is 1001111107. The next prime is 1001111141. The reversal of 1001111120 is 211111001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 152670736 + 848440384 = 12356^2 + 29128^2 .

It is a tau number, because it is divible by the number of its divisors (20).

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

It is a junction number, because it is equal to n+sod(n) for n = 1001111098 and 1001111107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6256865 + ... + 6257024.

It is an arithmetic number, because the mean of its divisors is an integer number (116379177).

Almost surely, 2^1001111120 is an apocalyptic number.

1001111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001111120 is an abundant number, since it is smaller than the sum of its proper divisors (1326472420).

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

1001111120 is a wasteful number, since it uses less digits than its factorization.

1001111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12513902 (or 12513896 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

The square root of 1001111120 is about 31640.3400740258. The cubic root of 1001111120 is about 1000.3702362415.

Adding to 1001111120 its reverse (211111001), we get a palindrome (1212222121).

The spelling of 1001111120 in words is "one billion, one million, one hundred eleven thousand, one hundred twenty".