1135205112 has 64 divisors (see below), whose sum is σ = 2978208000. Its totient is φ = 359896064.

The previous prime is 1135205111. The next prime is 1135205131. The reversal of 1135205112 is 2115025311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1135205111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93064 + ... + 104552.

It is an arithmetic number, because the mean of its divisors is an integer number (46534500).

Almost surely, 2^1135205112 is an apocalyptic number.

1135205112 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 1135205112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489104000).

1135205112 is an abundant number, since it is smaller than the sum of its proper divisors (1843002888).

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

1135205112 is a wasteful number, since it uses less digits than its factorization.

1135205112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11700 (or 11696 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 21.

The square root of 1135205112 is about 33692.8050479624. The cubic root of 1135205112 is about 1043.1772631662.

The spelling of 1135205112 in words is "one billion, one hundred thirty-five million, two hundred five thousand, one hundred twelve".