1131111120 has 80 divisors (see below), whose sum is σ = 3541237632. Its totient is φ = 298636800.

The previous prime is 1131111101. The next prime is 1131111139. The reversal of 1131111120 is 211111311.

It is an interprime number because it is at equal distance from previous prime (1131111101) and next prime (1131111139).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1131111096 and 1131111105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 909 + ... + 47571.

Almost surely, 2^1131111120 is an apocalyptic number.

1131111120 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 1131111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770618816).

1131111120 is an abundant number, since it is smaller than the sum of its proper divisors (2410126512).

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

1131111120 is a wasteful number, since it uses less digits than its factorization.

1131111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46780 (or 46774 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

The square root of 1131111120 is about 33631.9954804945. The cubic root of 1131111120 is about 1041.9217180542.

Adding to 1131111120 its reverse (211111311), we get a palindrome (1342222431).

The spelling of 1131111120 in words is "one billion, one hundred thirty-one million, one hundred eleven thousand, one hundred twenty".