1131189312 has 336 divisors, whose sum is σ = 3599809920. Its totient is φ = 312238080.

The previous prime is 1131189277. The next prime is 1131189313. The reversal of 1131189312 is 2139811311.

Its product of digits (1296) is a multiple of the sum of its prime factors (162).

It is a self number, because there is not a number n which added to its sum of digits gives 1131189312.

It is not an unprimeable number, because it can be changed into a prime (1131189313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15495708 + ... + 15495780.

It is an arithmetic number, because the mean of its divisors is an integer number (10713720).

Almost surely, 2^1131189312 is an apocalyptic number.

1131189312 is a gapful number since it is divisible by the number (12) 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 1131189312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799904960).

1131189312 is an abundant number, since it is smaller than the sum of its proper divisors (2468620608).

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

1131189312 is a wasteful number, since it uses less digits than its factorization.

1131189312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 141 counting only the distinct ones).

The product of its digits is 1296, while the sum is 30.

The square root of 1131189312 is about 33633.1579248812. The cubic root of 1131189312 is about 1041.9457263248.

The spelling of 1131189312 in words is "one billion, one hundred thirty-one million, one hundred eighty-nine thousand, three hundred twelve".