1131211120 has 80 divisors (see below), whose sum is σ = 2930124960. Its totient is φ = 403264512.

The previous prime is 1131211117. The next prime is 1131211153. The reversal of 1131211120 is 211121311.

It is a happy number.

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 (13).

It is a self number, because there is not a number n which added to its sum of digits gives 1131211120.

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, 11407 + ... + 48913.

It is an arithmetic number, because the mean of its divisors is an integer number (36626562).

Almost surely, 2^1131211120 is an apocalyptic number.

1131211120 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 1131211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465062480).

1131211120 is an abundant number, since it is smaller than the sum of its proper divisors (1798913840).

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

1131211120 is a wasteful number, since it uses less digits than its factorization.

1131211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37562 (or 37556 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

The square root of 1131211120 is about 33633.4821271899. The cubic root of 1131211120 is about 1041.9524221113.

Adding to 1131211120 its reverse (211121311), we get a palindrome (1342332431).

The spelling of 1131211120 in words is "one billion, one hundred thirty-one million, two hundred eleven thousand, one hundred twenty".